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The table you provided contains three columns labeled **Antecedente (A)**, **Consecuente (C)**, and **Razón (R)**, which seem to represent a proportional relationship formula:

\[
R = \frac{C}{A}
\]

Let's calculate the missing values using this formula. Here's a breakdown:

1. **Row 1**: \(A = 4\), \(C = 5\), so:
   \[
   R = \frac{5}{4} = 1.25
   \]

2. **Row 2**: \(A = -3\), \(C = 10\), so:
   \[
   R = \frac{10}{-3} \approx -3.33
   \]

3. **Row 3**: \(A = 2\), \(R = 0.25\), so to find \(C\):
   \[
   C = A \times R = 2 \times 0.25 = 0.5
   \]

4. **Row 4**: \(A = 5\), \(R = -1.25\), so to find \(C\):
   \[
   C = A \times R = 5 \times -1.25 = -6.25
   \]

5. **Row 5**: \(C = 4\), \(R = 3.25\), so to find \(A\):
   \[
   A = \frac{C}{R} = \frac{4}{3.25} \approx 1.23
   \]

6. **Row 6**: \(A = -2\), \(R = 4.5\), so to find \(C\):
   \[
   C = A \times R = -2 \times 4.5 = -9
   \]

Now the table looks like this:

| Antecedente | Consecuente | Razón  |
|-------------|-------------|--------|
| 4           | 5           | 1.25   |
| -3          | 10          | -3.33  |
| 2           | 0.5         | 0.25   |
| 5           | -6.25       | -1.25  |
| 1.23        | 4           | 3.25   |
| -2          | -9          | 4.5    |

Would you like further details on how each calculation was done, or do you have any questions?

Here are 5 related questions to expand this topic:
1. How would you determine the missing term if the ratio is given for different variables?
2. Can the ratio ever be undefined? In which cases does this happen?
3. What happens to the ratio if both the antecedent and consequent are negative?
4. How does changing the antecedent affect the consequent if the ratio is fixed?
5. Could you explain how proportions work in different contexts, like physics or economics?

**Tip**: Always check the sign of the antecedent and consequent when solving for ratios, as it directly affects whether the ratio will be positive or negative!

The table consists of Antecedente (A), Consecuente (C), and Razón (R), asking to fill in the missing values using the proportional relationship formula: R = C / A.

Learn how to solve for missing values in a table of proportional relationships. The table includes Antecedente, Consecuente, and Razón columns with proportionality formulas such as R = C / A, suitable for Grades 6-8.

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