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Finding the Fourth Proportional to 725.50, 1,001.08 and 414.94

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Solution

The fourth proportional to 725.50, 1,001.08 and 414.94 is: 572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.50 : 1,001.08 = 414.94 : x
  2. Step 2: Convert to fraction form
    725.50/1,001.08 = 414.94/x
  3. Step 3: Cross multiply
    725.50x = 1,001.08 × 414.94
  4. Step 4: Simplify right side
    725.50x = 415,382.09
  5. Step 5: Solve for x
    x = 415,382.09/725.50
  6. Step 6: Final answer
    x = 572.55

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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.