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Finding the Fourth Proportional to 1,142.78, 1,704.64 and 1,033.34

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Solution

The fourth proportional to 1,142.78, 1,704.64 and 1,033.34 is: 1,541.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.78 : 1,704.64 = 1,033.34 : x
  2. Step 2: Convert to fraction form
    1,142.78/1,704.64 = 1,033.34/x
  3. Step 3: Cross multiply
    1,142.78x = 1,704.64 × 1,033.34
  4. Step 4: Simplify right side
    1,142.78x = 1,761,472.70
  5. Step 5: Solve for x
    x = 1,761,472.70/1,142.78
  6. Step 6: Final answer
    x = 1,541.39

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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.