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Finding the Fourth Proportional to 844.94, 1,267.56 and 267.80

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Solution

The fourth proportional to 844.94, 1,267.56 and 267.80 is: 401.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.94 : 1,267.56 = 267.80 : x
  2. Step 2: Convert to fraction form
    844.94/1,267.56 = 267.80/x
  3. Step 3: Cross multiply
    844.94x = 1,267.56 × 267.80
  4. Step 4: Simplify right side
    844.94x = 339,452.57
  5. Step 5: Solve for x
    x = 339,452.57/844.94
  6. Step 6: Final answer
    x = 401.75

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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.