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Finding the Fourth Proportional to 731.97, 1,010.25 and 469.98

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Solution

The fourth proportional to 731.97, 1,010.25 and 469.98 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.97 : 1,010.25 = 469.98 : x
  2. Step 2: Convert to fraction form
    731.97/1,010.25 = 469.98/x
  3. Step 3: Cross multiply
    731.97x = 1,010.25 × 469.98
  4. Step 4: Simplify right side
    731.97x = 474,797.30
  5. Step 5: Solve for x
    x = 474,797.30/731.97
  6. Step 6: Final answer
    x = 648.66

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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.