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Finding the Fourth Proportional to 1,142.28, 1,704.45 and 1,072.62

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Solution

The fourth proportional to 1,142.28, 1,704.45 and 1,072.62 is: 1,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.28 : 1,704.45 = 1,072.62 : x
  2. Step 2: Convert to fraction form
    1,142.28/1,704.45 = 1,072.62/x
  3. Step 3: Cross multiply
    1,142.28x = 1,704.45 × 1,072.62
  4. Step 4: Simplify right side
    1,142.28x = 1,828,227.16
  5. Step 5: Solve for x
    x = 1,828,227.16/1,142.28
  6. Step 6: Final answer
    x = 1,600.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.