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Finding the Fourth Proportional to 726.54, 1,003.62 and 531.14

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Solution

The fourth proportional to 726.54, 1,003.62 and 531.14 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.54 : 1,003.62 = 531.14 : x
  2. Step 2: Convert to fraction form
    726.54/1,003.62 = 531.14/x
  3. Step 3: Cross multiply
    726.54x = 1,003.62 × 531.14
  4. Step 4: Simplify right side
    726.54x = 533,062.73
  5. Step 5: Solve for x
    x = 533,062.73/726.54
  6. Step 6: Final answer
    x = 733.70

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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.