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Finding the Fourth Proportional to 844.65, 1,159.31 and 749.28

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Solution

The fourth proportional to 844.65, 1,159.31 and 749.28 is: 1,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.65 : 1,159.31 = 749.28 : x
  2. Step 2: Convert to fraction form
    844.65/1,159.31 = 749.28/x
  3. Step 3: Cross multiply
    844.65x = 1,159.31 × 749.28
  4. Step 4: Simplify right side
    844.65x = 868,644.05
  5. Step 5: Solve for x
    x = 868,644.05/844.65
  6. Step 6: Final answer
    x = 1,028.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.