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Finding the Fourth Proportional to 796.80, 1,099.52 and 447.44

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Solution

The fourth proportional to 796.80, 1,099.52 and 447.44 is: 617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.80 : 1,099.52 = 447.44 : x
  2. Step 2: Convert to fraction form
    796.80/1,099.52 = 447.44/x
  3. Step 3: Cross multiply
    796.80x = 1,099.52 × 447.44
  4. Step 4: Simplify right side
    796.80x = 491,969.23
  5. Step 5: Solve for x
    x = 491,969.23/796.80
  6. Step 6: Final answer
    x = 617.43

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Why These Related Problems?

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