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Finding the Fourth Proportional to 725.96, 1,001.97 and 411.22

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Solution

The fourth proportional to 725.96, 1,001.97 and 411.22 is: 567.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.96 : 1,001.97 = 411.22 : x
  2. Step 2: Convert to fraction form
    725.96/1,001.97 = 411.22/x
  3. Step 3: Cross multiply
    725.96x = 1,001.97 × 411.22
  4. Step 4: Simplify right side
    725.96x = 412,028.05
  5. Step 5: Solve for x
    x = 412,028.05/725.96
  6. Step 6: Final answer
    x = 567.56

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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.