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Finding the Fourth Proportional to 1,049.71, 1,571.49 and 756.17

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Solution

The fourth proportional to 1,049.71, 1,571.49 and 756.17 is: 1,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.71 : 1,571.49 = 756.17 : x
  2. Step 2: Convert to fraction form
    1,049.71/1,571.49 = 756.17/x
  3. Step 3: Cross multiply
    1,049.71x = 1,571.49 × 756.17
  4. Step 4: Simplify right side
    1,049.71x = 1,188,313.59
  5. Step 5: Solve for x
    x = 1,188,313.59/1,049.71
  6. Step 6: Final answer
    x = 1,132.04

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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.