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Finding the Fourth Proportional to 1,063.65, 1,593.16 and 514.67

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Solution

The fourth proportional to 1,063.65, 1,593.16 and 514.67 is: 770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.65 : 1,593.16 = 514.67 : x
  2. Step 2: Convert to fraction form
    1,063.65/1,593.16 = 514.67/x
  3. Step 3: Cross multiply
    1,063.65x = 1,593.16 × 514.67
  4. Step 4: Simplify right side
    1,063.65x = 819,949.08
  5. Step 5: Solve for x
    x = 819,949.08/1,063.65
  6. Step 6: Final answer
    x = 770.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.