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Finding the Fourth Proportional to 844.73, 1,267.08 and 267.60

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Solution

The fourth proportional to 844.73, 1,267.08 and 267.60 is: 401.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.73 : 1,267.08 = 267.60 : x
  2. Step 2: Convert to fraction form
    844.73/1,267.08 = 267.60/x
  3. Step 3: Cross multiply
    844.73x = 1,267.08 × 267.60
  4. Step 4: Simplify right side
    844.73x = 339,069.27
  5. Step 5: Solve for x
    x = 339,069.27/844.73
  6. Step 6: Final answer
    x = 401.40

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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.