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Finding the Fourth Proportional to 726.91, 1,002.78 and 431.97

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Solution

The fourth proportional to 726.91, 1,002.78 and 431.97 is: 595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.91 : 1,002.78 = 431.97 : x
  2. Step 2: Convert to fraction form
    726.91/1,002.78 = 431.97/x
  3. Step 3: Cross multiply
    726.91x = 1,002.78 × 431.97
  4. Step 4: Simplify right side
    726.91x = 433,167.12
  5. Step 5: Solve for x
    x = 433,167.12/726.91
  6. Step 6: Final answer
    x = 595.90

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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.