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Finding the Fourth Proportional to 809.02, 1,213.68 and 261.19

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Solution

The fourth proportional to 809.02, 1,213.68 and 261.19 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.02 : 1,213.68 = 261.19 : x
  2. Step 2: Convert to fraction form
    809.02/1,213.68 = 261.19/x
  3. Step 3: Cross multiply
    809.02x = 1,213.68 × 261.19
  4. Step 4: Simplify right side
    809.02x = 317,001.08
  5. Step 5: Solve for x
    x = 317,001.08/809.02
  6. Step 6: Final answer
    x = 391.83

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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.