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Finding the Fourth Proportional to 671.22, 925.82 and 616.14

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Solution

The fourth proportional to 671.22, 925.82 and 616.14 is: 849.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.22 : 925.82 = 616.14 : x
  2. Step 2: Convert to fraction form
    671.22/925.82 = 616.14/x
  3. Step 3: Cross multiply
    671.22x = 925.82 × 616.14
  4. Step 4: Simplify right side
    671.22x = 570,434.73
  5. Step 5: Solve for x
    x = 570,434.73/671.22
  6. Step 6: Final answer
    x = 849.85

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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.