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Finding the Fourth Proportional to 1,132.16, 1,685.92 and 1,088

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Solution

The fourth proportional to 1,132.16, 1,685.92 and 1,088 is: 1,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.16 : 1,685.92 = 1,088 : x
  2. Step 2: Convert to fraction form
    1,132.16/1,685.92 = 1,088/x
  3. Step 3: Cross multiply
    1,132.16x = 1,685.92 × 1,088
  4. Step 4: Simplify right side
    1,132.16x = 1,834,280.96
  5. Step 5: Solve for x
    x = 1,834,280.96/1,132.16
  6. Step 6: Final answer
    x = 1,620.16

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.