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Finding the Fourth Proportional to 844.69, 1,267.07 and 267.57

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Solution

The fourth proportional to 844.69, 1,267.07 and 267.57 is: 401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.69 : 1,267.07 = 267.57 : x
  2. Step 2: Convert to fraction form
    844.69/1,267.07 = 267.57/x
  3. Step 3: Cross multiply
    844.69x = 1,267.07 × 267.57
  4. Step 4: Simplify right side
    844.69x = 339,029.92
  5. Step 5: Solve for x
    x = 339,029.92/844.69
  6. Step 6: Final answer
    x = 401.37

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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.