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Finding the Fourth Proportional to 725.90, 1,001.54 and 431.14

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Solution

The fourth proportional to 725.90, 1,001.54 and 431.14 is: 594.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.90 : 1,001.54 = 431.14 : x
  2. Step 2: Convert to fraction form
    725.90/1,001.54 = 431.14/x
  3. Step 3: Cross multiply
    725.90x = 1,001.54 × 431.14
  4. Step 4: Simplify right side
    725.90x = 431,803.96
  5. Step 5: Solve for x
    x = 431,803.96/725.90
  6. Step 6: Final answer
    x = 594.85

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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.