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Finding the Fourth Proportional to 1,280.66, 1,766.97 and 1,082.30

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Solution

The fourth proportional to 1,280.66, 1,766.97 and 1,082.30 is: 1,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.66 : 1,766.97 = 1,082.30 : x
  2. Step 2: Convert to fraction form
    1,280.66/1,766.97 = 1,082.30/x
  3. Step 3: Cross multiply
    1,280.66x = 1,766.97 × 1,082.30
  4. Step 4: Simplify right side
    1,280.66x = 1,912,391.63
  5. Step 5: Solve for x
    x = 1,912,391.63/1,280.66
  6. Step 6: Final answer
    x = 1,493.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.