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Finding the Fourth Proportional to 1,255.28, 1,727.96 and 1,087.16

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Solution

The fourth proportional to 1,255.28, 1,727.96 and 1,087.16 is: 1,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.28 : 1,727.96 = 1,087.16 : x
  2. Step 2: Convert to fraction form
    1,255.28/1,727.96 = 1,087.16/x
  3. Step 3: Cross multiply
    1,255.28x = 1,727.96 × 1,087.16
  4. Step 4: Simplify right side
    1,255.28x = 1,878,568.99
  5. Step 5: Solve for x
    x = 1,878,568.99/1,255.28
  6. Step 6: Final answer
    x = 1,496.53

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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.