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Finding the Fourth Proportional to 797.20, 1,195.62 and 220.12

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Solution

The fourth proportional to 797.20, 1,195.62 and 220.12 is: 330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.20 : 1,195.62 = 220.12 : x
  2. Step 2: Convert to fraction form
    797.20/1,195.62 = 220.12/x
  3. Step 3: Cross multiply
    797.20x = 1,195.62 × 220.12
  4. Step 4: Simplify right side
    797.20x = 263,179.87
  5. Step 5: Solve for x
    x = 263,179.87/797.20
  6. Step 6: Final answer
    x = 330.13

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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.