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Finding the Fourth Proportional to 1,118.88, 1,540.89 and 869.76

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Solution

The fourth proportional to 1,118.88, 1,540.89 and 869.76 is: 1,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.88 : 1,540.89 = 869.76 : x
  2. Step 2: Convert to fraction form
    1,118.88/1,540.89 = 869.76/x
  3. Step 3: Cross multiply
    1,118.88x = 1,540.89 × 869.76
  4. Step 4: Simplify right side
    1,118.88x = 1,340,204.49
  5. Step 5: Solve for x
    x = 1,340,204.49/1,118.88
  6. Step 6: Final answer
    x = 1,197.81

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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.