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Finding the Fourth Proportional to 844.59, 1,159.33 and 749.25

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Solution

The fourth proportional to 844.59, 1,159.33 and 749.25 is: 1,028.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.59 : 1,159.33 = 749.25 : x
  2. Step 2: Convert to fraction form
    844.59/1,159.33 = 749.25/x
  3. Step 3: Cross multiply
    844.59x = 1,159.33 × 749.25
  4. Step 4: Simplify right side
    844.59x = 868,618.46
  5. Step 5: Solve for x
    x = 868,618.46/844.59
  6. Step 6: Final answer
    x = 1,028.46

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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.