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Finding the Fourth Proportional to 725.97, 1,001.86 and 427.29

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Solution

The fourth proportional to 725.97, 1,001.86 and 427.29 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.97 : 1,001.86 = 427.29 : x
  2. Step 2: Convert to fraction form
    725.97/1,001.86 = 427.29/x
  3. Step 3: Cross multiply
    725.97x = 1,001.86 × 427.29
  4. Step 4: Simplify right side
    725.97x = 428,079.93
  5. Step 5: Solve for x
    x = 428,079.93/725.97
  6. Step 6: Final answer
    x = 589.66

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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.