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Finding the Fourth Proportional to 1,132.75, 1,563.20 and 660.97

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Solution

The fourth proportional to 1,132.75, 1,563.20 and 660.97 is: 912.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.75 : 1,563.20 = 660.97 : x
  2. Step 2: Convert to fraction form
    1,132.75/1,563.20 = 660.97/x
  3. Step 3: Cross multiply
    1,132.75x = 1,563.20 × 660.97
  4. Step 4: Simplify right side
    1,132.75x = 1,033,228.30
  5. Step 5: Solve for x
    x = 1,033,228.30/1,132.75
  6. Step 6: Final answer
    x = 912.14

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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.