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Finding the Fourth Proportional to 725.67, 1,001.43 and 394.11

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Solution

The fourth proportional to 725.67, 1,001.43 and 394.11 is: 543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.67 : 1,001.43 = 394.11 : x
  2. Step 2: Convert to fraction form
    725.67/1,001.43 = 394.11/x
  3. Step 3: Cross multiply
    725.67x = 1,001.43 × 394.11
  4. Step 4: Simplify right side
    725.67x = 394,673.58
  5. Step 5: Solve for x
    x = 394,673.58/725.67
  6. Step 6: Final answer
    x = 543.87

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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.