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Finding the Fourth Proportional to 809.20, 1,213.22 and 261.08

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Solution

The fourth proportional to 809.20, 1,213.22 and 261.08 is: 391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.20 : 1,213.22 = 261.08 : x
  2. Step 2: Convert to fraction form
    809.20/1,213.22 = 261.08/x
  3. Step 3: Cross multiply
    809.20x = 1,213.22 × 261.08
  4. Step 4: Simplify right side
    809.20x = 316,747.48
  5. Step 5: Solve for x
    x = 316,747.48/809.20
  6. Step 6: Final answer
    x = 391.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.