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Finding the Fourth Proportional to 1,098.85, 1,649.57 and 867.90

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Solution

The fourth proportional to 1,098.85, 1,649.57 and 867.90 is: 1,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.85 : 1,649.57 = 867.90 : x
  2. Step 2: Convert to fraction form
    1,098.85/1,649.57 = 867.90/x
  3. Step 3: Cross multiply
    1,098.85x = 1,649.57 × 867.90
  4. Step 4: Simplify right side
    1,098.85x = 1,431,661.80
  5. Step 5: Solve for x
    x = 1,431,661.80/1,098.85
  6. Step 6: Final answer
    x = 1,302.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.