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Finding the Fourth Proportional to 641.78, 886.11 and 559.97

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Solution

The fourth proportional to 641.78, 886.11 and 559.97 is: 773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.78 : 886.11 = 559.97 : x
  2. Step 2: Convert to fraction form
    641.78/886.11 = 559.97/x
  3. Step 3: Cross multiply
    641.78x = 886.11 × 559.97
  4. Step 4: Simplify right side
    641.78x = 496,195.02
  5. Step 5: Solve for x
    x = 496,195.02/641.78
  6. Step 6: Final answer
    x = 773.15

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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.