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Finding the Fourth Proportional to 796.86, 1,099.83 and 447.66

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Solution

The fourth proportional to 796.86, 1,099.83 and 447.66 is: 617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.86 : 1,099.83 = 447.66 : x
  2. Step 2: Convert to fraction form
    796.86/1,099.83 = 447.66/x
  3. Step 3: Cross multiply
    796.86x = 1,099.83 × 447.66
  4. Step 4: Simplify right side
    796.86x = 492,349.90
  5. Step 5: Solve for x
    x = 492,349.90/796.86
  6. Step 6: Final answer
    x = 617.86

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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.