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Finding the Fourth Proportional to 726.52, 1,002.51 and 431.73

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Solution

The fourth proportional to 726.52, 1,002.51 and 431.73 is: 595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.52 : 1,002.51 = 431.73 : x
  2. Step 2: Convert to fraction form
    726.52/1,002.51 = 431.73/x
  3. Step 3: Cross multiply
    726.52x = 1,002.51 × 431.73
  4. Step 4: Simplify right side
    726.52x = 432,813.64
  5. Step 5: Solve for x
    x = 432,813.64/726.52
  6. Step 6: Final answer
    x = 595.74

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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.