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Finding the Fourth Proportional to 725.69, 1,001.48 and 415.19

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Solution

The fourth proportional to 725.69, 1,001.48 and 415.19 is: 572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.69 : 1,001.48 = 415.19 : x
  2. Step 2: Convert to fraction form
    725.69/1,001.48 = 415.19/x
  3. Step 3: Cross multiply
    725.69x = 1,001.48 × 415.19
  4. Step 4: Simplify right side
    725.69x = 415,797.40
  5. Step 5: Solve for x
    x = 415,797.40/725.69
  6. Step 6: Final answer
    x = 572.97

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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.