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Finding the Fourth Proportional to 725.88, 1,001.64 and 431.09

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Solution

The fourth proportional to 725.88, 1,001.64 and 431.09 is: 594.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.88 : 1,001.64 = 431.09 : x
  2. Step 2: Convert to fraction form
    725.88/1,001.64 = 431.09/x
  3. Step 3: Cross multiply
    725.88x = 1,001.64 × 431.09
  4. Step 4: Simplify right side
    725.88x = 431,796.99
  5. Step 5: Solve for x
    x = 431,796.99/725.88
  6. Step 6: Final answer
    x = 594.86

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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.