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Finding the Fourth Proportional to 809.26, 1,213.92 and 261.38

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Solution

The fourth proportional to 809.26, 1,213.92 and 261.38 is: 392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.26 : 1,213.92 = 261.38 : x
  2. Step 2: Convert to fraction form
    809.26/1,213.92 = 261.38/x
  3. Step 3: Cross multiply
    809.26x = 1,213.92 × 261.38
  4. Step 4: Simplify right side
    809.26x = 317,297.44
  5. Step 5: Solve for x
    x = 317,297.44/809.26
  6. Step 6: Final answer
    x = 392.08

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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.