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Finding the Fourth Proportional to 911.26, 1,367.04 and 449.06

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Solution

The fourth proportional to 911.26, 1,367.04 and 449.06 is: 673.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.26 : 1,367.04 = 449.06 : x
  2. Step 2: Convert to fraction form
    911.26/1,367.04 = 449.06/x
  3. Step 3: Cross multiply
    911.26x = 1,367.04 × 449.06
  4. Step 4: Simplify right side
    911.26x = 613,882.98
  5. Step 5: Solve for x
    x = 613,882.98/911.26
  6. Step 6: Final answer
    x = 673.66

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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.