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Finding the Fourth Proportional to 1,142.89, 1,713.42 and 449.73

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Solution

The fourth proportional to 1,142.89, 1,713.42 and 449.73 is: 674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.89 : 1,713.42 = 449.73 : x
  2. Step 2: Convert to fraction form
    1,142.89/1,713.42 = 449.73/x
  3. Step 3: Cross multiply
    1,142.89x = 1,713.42 × 449.73
  4. Step 4: Simplify right side
    1,142.89x = 770,576.38
  5. Step 5: Solve for x
    x = 770,576.38/1,142.89
  6. Step 6: Final answer
    x = 674.23

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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.