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Finding the Fourth Proportional to 809.19, 1,213.78 and 261.39

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Solution

The fourth proportional to 809.19, 1,213.78 and 261.39 is: 392.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.19 : 1,213.78 = 261.39 : x
  2. Step 2: Convert to fraction form
    809.19/1,213.78 = 261.39/x
  3. Step 3: Cross multiply
    809.19x = 1,213.78 × 261.39
  4. Step 4: Simplify right side
    809.19x = 317,273.64
  5. Step 5: Solve for x
    x = 317,273.64/809.19
  6. Step 6: Final answer
    x = 392.09

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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.