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Finding the Fourth Proportional to 869.57, 1,198.37 and 847.97

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Solution

The fourth proportional to 869.57, 1,198.37 and 847.97 is: 1,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.57 : 1,198.37 = 847.97 : x
  2. Step 2: Convert to fraction form
    869.57/1,198.37 = 847.97/x
  3. Step 3: Cross multiply
    869.57x = 1,198.37 × 847.97
  4. Step 4: Simplify right side
    869.57x = 1,016,177.57
  5. Step 5: Solve for x
    x = 1,016,177.57/869.57
  6. Step 6: Final answer
    x = 1,168.60

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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.