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Finding the Fourth Proportional to 869.20, 1,198.44 and 635.92

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Solution

The fourth proportional to 869.20, 1,198.44 and 635.92 is: 876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.20 : 1,198.44 = 635.92 : x
  2. Step 2: Convert to fraction form
    869.20/1,198.44 = 635.92/x
  3. Step 3: Cross multiply
    869.20x = 1,198.44 × 635.92
  4. Step 4: Simplify right side
    869.20x = 762,111.96
  5. Step 5: Solve for x
    x = 762,111.96/869.20
  6. Step 6: Final answer
    x = 876.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.