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Finding the Fourth Proportional to 726.42, 1,002.13 and 431.70

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Solution

The fourth proportional to 726.42, 1,002.13 and 431.70 is: 595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.42 : 1,002.13 = 431.70 : x
  2. Step 2: Convert to fraction form
    726.42/1,002.13 = 431.70/x
  3. Step 3: Cross multiply
    726.42x = 1,002.13 × 431.70
  4. Step 4: Simplify right side
    726.42x = 432,619.52
  5. Step 5: Solve for x
    x = 432,619.52/726.42
  6. Step 6: Final answer
    x = 595.55

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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.