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Finding the Fourth Proportional to 807.91, 1,212.20 and 548.20

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Solution

The fourth proportional to 807.91, 1,212.20 and 548.20 is: 822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.91 : 1,212.20 = 548.20 : x
  2. Step 2: Convert to fraction form
    807.91/1,212.20 = 548.20/x
  3. Step 3: Cross multiply
    807.91x = 1,212.20 × 548.20
  4. Step 4: Simplify right side
    807.91x = 664,528.04
  5. Step 5: Solve for x
    x = 664,528.04/807.91
  6. Step 6: Final answer
    x = 822.53

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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.