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Finding the Fourth Proportional to 676.20, 927.65 and 634.29

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Solution

The fourth proportional to 676.20, 927.65 and 634.29 is: 870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.20 : 927.65 = 634.29 : x
  2. Step 2: Convert to fraction form
    676.20/927.65 = 634.29/x
  3. Step 3: Cross multiply
    676.20x = 927.65 × 634.29
  4. Step 4: Simplify right side
    676.20x = 588,395.95
  5. Step 5: Solve for x
    x = 588,395.95/676.20
  6. Step 6: Final answer
    x = 870.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.