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Finding the Fourth Proportional to 1,439.30, 1,986.42 and 879.66

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Solution

The fourth proportional to 1,439.30, 1,986.42 and 879.66 is: 1,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.30 : 1,986.42 = 879.66 : x
  2. Step 2: Convert to fraction form
    1,439.30/1,986.42 = 879.66/x
  3. Step 3: Cross multiply
    1,439.30x = 1,986.42 × 879.66
  4. Step 4: Simplify right side
    1,439.30x = 1,747,377.52
  5. Step 5: Solve for x
    x = 1,747,377.52/1,439.30
  6. Step 6: Final answer
    x = 1,214.04

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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.