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Finding the Fourth Proportional to 796.28, 1,098.84 and 446.96

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Solution

The fourth proportional to 796.28, 1,098.84 and 446.96 is: 616.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.28 : 1,098.84 = 446.96 : x
  2. Step 2: Convert to fraction form
    796.28/1,098.84 = 446.96/x
  3. Step 3: Cross multiply
    796.28x = 1,098.84 × 446.96
  4. Step 4: Simplify right side
    796.28x = 491,132.03
  5. Step 5: Solve for x
    x = 491,132.03/796.28
  6. Step 6: Final answer
    x = 616.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.