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Finding the Fourth Proportional to 709.17, 1,063.17 and 462.62

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Solution

The fourth proportional to 709.17, 1,063.17 and 462.62 is: 693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.17 : 1,063.17 = 462.62 : x
  2. Step 2: Convert to fraction form
    709.17/1,063.17 = 462.62/x
  3. Step 3: Cross multiply
    709.17x = 1,063.17 × 462.62
  4. Step 4: Simplify right side
    709.17x = 491,838.39
  5. Step 5: Solve for x
    x = 491,838.39/709.17
  6. Step 6: Final answer
    x = 693.54

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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.