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Finding the Fourth Proportional to 1,142.28, 1,713.96 and 1,085.94

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Solution

The fourth proportional to 1,142.28, 1,713.96 and 1,085.94 is: 1,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.28 : 1,713.96 = 1,085.94 : x
  2. Step 2: Convert to fraction form
    1,142.28/1,713.96 = 1,085.94/x
  3. Step 3: Cross multiply
    1,142.28x = 1,713.96 × 1,085.94
  4. Step 4: Simplify right side
    1,142.28x = 1,861,257.72
  5. Step 5: Solve for x
    x = 1,861,257.72/1,142.28
  6. Step 6: Final answer
    x = 1,629.42

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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.