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Finding the Fourth Proportional to 1,047.71, 1,568.49 and 754.17

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Solution

The fourth proportional to 1,047.71, 1,568.49 and 754.17 is: 1,129.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.71 : 1,568.49 = 754.17 : x
  2. Step 2: Convert to fraction form
    1,047.71/1,568.49 = 754.17/x
  3. Step 3: Cross multiply
    1,047.71x = 1,568.49 × 754.17
  4. Step 4: Simplify right side
    1,047.71x = 1,182,912.54
  5. Step 5: Solve for x
    x = 1,182,912.54/1,047.71
  6. Step 6: Final answer
    x = 1,129.05

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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.