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Finding the Fourth Proportional to 981.18, 1,353.24 and 862.90

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Solution

The fourth proportional to 981.18, 1,353.24 and 862.90 is: 1,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.18 : 1,353.24 = 862.90 : x
  2. Step 2: Convert to fraction form
    981.18/1,353.24 = 862.90/x
  3. Step 3: Cross multiply
    981.18x = 1,353.24 × 862.90
  4. Step 4: Simplify right side
    981.18x = 1,167,710.80
  5. Step 5: Solve for x
    x = 1,167,710.80/981.18
  6. Step 6: Final answer
    x = 1,190.11

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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.