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Finding the Fourth Proportional to 728.52, 1,005.29 and 429.71

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Solution

The fourth proportional to 728.52, 1,005.29 and 429.71 is: 592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.52 : 1,005.29 = 429.71 : x
  2. Step 2: Convert to fraction form
    728.52/1,005.29 = 429.71/x
  3. Step 3: Cross multiply
    728.52x = 1,005.29 × 429.71
  4. Step 4: Simplify right side
    728.52x = 431,983.17
  5. Step 5: Solve for x
    x = 431,983.17/728.52
  6. Step 6: Final answer
    x = 592.96

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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.