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Finding the Fourth Proportional to 844.65, 1,267.11 and 267.39

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Solution

The fourth proportional to 844.65, 1,267.11 and 267.39 is: 401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.65 : 1,267.11 = 267.39 : x
  2. Step 2: Convert to fraction form
    844.65/1,267.11 = 267.39/x
  3. Step 3: Cross multiply
    844.65x = 1,267.11 × 267.39
  4. Step 4: Simplify right side
    844.65x = 338,812.54
  5. Step 5: Solve for x
    x = 338,812.54/844.65
  6. Step 6: Final answer
    x = 401.13

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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.