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Finding the Fourth Proportional to 782, 1,079.17 and 432.70

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Solution

The fourth proportional to 782, 1,079.17 and 432.70 is: 597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    782 : 1,079.17 = 432.70 : x
  2. Step 2: Convert to fraction form
    782/1,079.17 = 432.70/x
  3. Step 3: Cross multiply
    782x = 1,079.17 × 432.70
  4. Step 4: Simplify right side
    782x = 466,950.38
  5. Step 5: Solve for x
    x = 466,950.38/782
  6. Step 6: Final answer
    x = 597.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.