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Finding the Fourth Proportional to 796.55, 1,099.19 and 447.35

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Solution

The fourth proportional to 796.55, 1,099.19 and 447.35 is: 617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.55 : 1,099.19 = 447.35 : x
  2. Step 2: Convert to fraction form
    796.55/1,099.19 = 447.35/x
  3. Step 3: Cross multiply
    796.55x = 1,099.19 × 447.35
  4. Step 4: Simplify right side
    796.55x = 491,718.27
  5. Step 5: Solve for x
    x = 491,718.27/796.55
  6. Step 6: Final answer
    x = 617.31

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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.