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Finding the Fourth Proportional to 725.72, 1,001.49 and 394.14

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Solution

The fourth proportional to 725.72, 1,001.49 and 394.14 is: 543.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.72 : 1,001.49 = 394.14 : x
  2. Step 2: Convert to fraction form
    725.72/1,001.49 = 394.14/x
  3. Step 3: Cross multiply
    725.72x = 1,001.49 × 394.14
  4. Step 4: Simplify right side
    725.72x = 394,729.55
  5. Step 5: Solve for x
    x = 394,729.55/725.72
  6. Step 6: Final answer
    x = 543.92

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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.