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Finding the Fourth Proportional to 1,439.27, 1,986.12 and 849.69

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Solution

The fourth proportional to 1,439.27, 1,986.12 and 849.69 is: 1,172.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,439.27 : 1,986.12 = 849.69 : x
  2. Step 2: Convert to fraction form
    1,439.27/1,986.12 = 849.69/x
  3. Step 3: Cross multiply
    1,439.27x = 1,986.12 × 849.69
  4. Step 4: Simplify right side
    1,439.27x = 1,687,592.33
  5. Step 5: Solve for x
    x = 1,687,592.33/1,439.27
  6. Step 6: Final answer
    x = 1,172.53

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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.