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Finding the Fourth Proportional to 797.98, 1,196.96 and 220.85

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Solution

The fourth proportional to 797.98, 1,196.96 and 220.85 is: 331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.98 : 1,196.96 = 220.85 : x
  2. Step 2: Convert to fraction form
    797.98/1,196.96 = 220.85/x
  3. Step 3: Cross multiply
    797.98x = 1,196.96 × 220.85
  4. Step 4: Simplify right side
    797.98x = 264,351.56
  5. Step 5: Solve for x
    x = 264,351.56/797.98
  6. Step 6: Final answer
    x = 331.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.