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Finding the Fourth Proportional to 725.25, 1,001.31 and 459.81

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Solution

The fourth proportional to 725.25, 1,001.31 and 459.81 is: 634.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.25 : 1,001.31 = 459.81 : x
  2. Step 2: Convert to fraction form
    725.25/1,001.31 = 459.81/x
  3. Step 3: Cross multiply
    725.25x = 1,001.31 × 459.81
  4. Step 4: Simplify right side
    725.25x = 460,412.35
  5. Step 5: Solve for x
    x = 460,412.35/725.25
  6. Step 6: Final answer
    x = 634.83

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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.