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Finding the Fourth Proportional to 725.54, 1,001.25 and 410.81

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Solution

The fourth proportional to 725.54, 1,001.25 and 410.81 is: 566.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.54 : 1,001.25 = 410.81 : x
  2. Step 2: Convert to fraction form
    725.54/1,001.25 = 410.81/x
  3. Step 3: Cross multiply
    725.54x = 1,001.25 × 410.81
  4. Step 4: Simplify right side
    725.54x = 411,318.51
  5. Step 5: Solve for x
    x = 411,318.51/725.54
  6. Step 6: Final answer
    x = 566.92

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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.