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Finding the Fourth Proportional to 1,132.76, 1,563.18 and 1,099.64

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Solution

The fourth proportional to 1,132.76, 1,563.18 and 1,099.64 is: 1,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.76 : 1,563.18 = 1,099.64 : x
  2. Step 2: Convert to fraction form
    1,132.76/1,563.18 = 1,099.64/x
  3. Step 3: Cross multiply
    1,132.76x = 1,563.18 × 1,099.64
  4. Step 4: Simplify right side
    1,132.76x = 1,718,935.26
  5. Step 5: Solve for x
    x = 1,718,935.26/1,132.76
  6. Step 6: Final answer
    x = 1,517.48

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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.