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Finding the Fourth Proportional to 1,139.20, 1,711.36 and 1,096

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Solution

The fourth proportional to 1,139.20, 1,711.36 and 1,096 is: 1,646.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.20 : 1,711.36 = 1,096 : x
  2. Step 2: Convert to fraction form
    1,139.20/1,711.36 = 1,096/x
  3. Step 3: Cross multiply
    1,139.20x = 1,711.36 × 1,096
  4. Step 4: Simplify right side
    1,139.20x = 1,875,650.56
  5. Step 5: Solve for x
    x = 1,875,650.56/1,139.20
  6. Step 6: Final answer
    x = 1,646.46

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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.