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Finding the Fourth Proportional to 1,077.89, 1,616.43 and 849.47

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Solution

The fourth proportional to 1,077.89, 1,616.43 and 849.47 is: 1,273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.89 : 1,616.43 = 849.47 : x
  2. Step 2: Convert to fraction form
    1,077.89/1,616.43 = 849.47/x
  3. Step 3: Cross multiply
    1,077.89x = 1,616.43 × 849.47
  4. Step 4: Simplify right side
    1,077.89x = 1,373,108.79
  5. Step 5: Solve for x
    x = 1,373,108.79/1,077.89
  6. Step 6: Final answer
    x = 1,273.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.