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Finding the Fourth Proportional to 1,097.66, 1,644.94 and 849.71

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Solution

The fourth proportional to 1,097.66, 1,644.94 and 849.71 is: 1,273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.66 : 1,644.94 = 849.71 : x
  2. Step 2: Convert to fraction form
    1,097.66/1,644.94 = 849.71/x
  3. Step 3: Cross multiply
    1,097.66x = 1,644.94 × 849.71
  4. Step 4: Simplify right side
    1,097.66x = 1,397,721.97
  5. Step 5: Solve for x
    x = 1,397,721.97/1,097.66
  6. Step 6: Final answer
    x = 1,273.37

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Why These Related Problems?

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