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Finding the Fourth Proportional to 1,147.28, 1,721.38 and 757.21

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Solution

The fourth proportional to 1,147.28, 1,721.38 and 757.21 is: 1,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.28 : 1,721.38 = 757.21 : x
  2. Step 2: Convert to fraction form
    1,147.28/1,721.38 = 757.21/x
  3. Step 3: Cross multiply
    1,147.28x = 1,721.38 × 757.21
  4. Step 4: Simplify right side
    1,147.28x = 1,303,446.15
  5. Step 5: Solve for x
    x = 1,303,446.15/1,147.28
  6. Step 6: Final answer
    x = 1,136.12

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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.