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Finding the Fourth Proportional to 726.20, 1,002.09 and 431.45

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Solution

The fourth proportional to 726.20, 1,002.09 and 431.45 is: 595.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.20 : 1,002.09 = 431.45 : x
  2. Step 2: Convert to fraction form
    726.20/1,002.09 = 431.45/x
  3. Step 3: Cross multiply
    726.20x = 1,002.09 × 431.45
  4. Step 4: Simplify right side
    726.20x = 432,351.73
  5. Step 5: Solve for x
    x = 432,351.73/726.20
  6. Step 6: Final answer
    x = 595.36

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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.