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Finding the Fourth Proportional to 844.39, 1,266.57 and 267.25

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Solution

The fourth proportional to 844.39, 1,266.57 and 267.25 is: 400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.39 : 1,266.57 = 267.25 : x
  2. Step 2: Convert to fraction form
    844.39/1,266.57 = 267.25/x
  3. Step 3: Cross multiply
    844.39x = 1,266.57 × 267.25
  4. Step 4: Simplify right side
    844.39x = 338,490.83
  5. Step 5: Solve for x
    x = 338,490.83/844.39
  6. Step 6: Final answer
    x = 400.87

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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.