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Finding the Fourth Proportional to 809.19, 1,213.82 and 253.97

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Solution

The fourth proportional to 809.19, 1,213.82 and 253.97 is: 380.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.19 : 1,213.82 = 253.97 : x
  2. Step 2: Convert to fraction form
    809.19/1,213.82 = 253.97/x
  3. Step 3: Cross multiply
    809.19x = 1,213.82 × 253.97
  4. Step 4: Simplify right side
    809.19x = 308,273.87
  5. Step 5: Solve for x
    x = 308,273.87/809.19
  6. Step 6: Final answer
    x = 380.97

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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.