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Finding the Fourth Proportional to 807.96, 1,212.44 and 397.24

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Solution

The fourth proportional to 807.96, 1,212.44 and 397.24 is: 596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.96 : 1,212.44 = 397.24 : x
  2. Step 2: Convert to fraction form
    807.96/1,212.44 = 397.24/x
  3. Step 3: Cross multiply
    807.96x = 1,212.44 × 397.24
  4. Step 4: Simplify right side
    807.96x = 481,629.67
  5. Step 5: Solve for x
    x = 481,629.67/807.96
  6. Step 6: Final answer
    x = 596.11

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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.