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Finding the Fourth Proportional to 809.19, 1,213.97 and 232.06

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Solution

The fourth proportional to 809.19, 1,213.97 and 232.06 is: 348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.19 : 1,213.97 = 232.06 : x
  2. Step 2: Convert to fraction form
    809.19/1,213.97 = 232.06/x
  3. Step 3: Cross multiply
    809.19x = 1,213.97 × 232.06
  4. Step 4: Simplify right side
    809.19x = 281,713.88
  5. Step 5: Solve for x
    x = 281,713.88/809.19
  6. Step 6: Final answer
    x = 348.14

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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.