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Finding the Fourth Proportional to 726.75, 1,002.42 and 432.14

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Solution

The fourth proportional to 726.75, 1,002.42 and 432.14 is: 596.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.75 : 1,002.42 = 432.14 : x
  2. Step 2: Convert to fraction form
    726.75/1,002.42 = 432.14/x
  3. Step 3: Cross multiply
    726.75x = 1,002.42 × 432.14
  4. Step 4: Simplify right side
    726.75x = 433,180.77
  5. Step 5: Solve for x
    x = 433,180.77/726.75
  6. Step 6: Final answer
    x = 596.05

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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.