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Finding the Fourth Proportional to 1,118.24, 1,540.66 and 868.68

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Solution

The fourth proportional to 1,118.24, 1,540.66 and 868.68 is: 1,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.24 : 1,540.66 = 868.68 : x
  2. Step 2: Convert to fraction form
    1,118.24/1,540.66 = 868.68/x
  3. Step 3: Cross multiply
    1,118.24x = 1,540.66 × 868.68
  4. Step 4: Simplify right side
    1,118.24x = 1,338,340.53
  5. Step 5: Solve for x
    x = 1,338,340.53/1,118.24
  6. Step 6: Final answer
    x = 1,196.83

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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.