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Finding the Fourth Proportional to 796.49, 1,099.20 and 447.20

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Solution

The fourth proportional to 796.49, 1,099.20 and 447.20 is: 617.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.49 : 1,099.20 = 447.20 : x
  2. Step 2: Convert to fraction form
    796.49/1,099.20 = 447.20/x
  3. Step 3: Cross multiply
    796.49x = 1,099.20 × 447.20
  4. Step 4: Simplify right side
    796.49x = 491,554.51
  5. Step 5: Solve for x
    x = 491,554.51/796.49
  6. Step 6: Final answer
    x = 617.15

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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.