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Finding the Fourth Proportional to 797.14, 1,195.56 and 219.96

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Solution

The fourth proportional to 797.14, 1,195.56 and 219.96 is: 329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.14 : 1,195.56 = 219.96 : x
  2. Step 2: Convert to fraction form
    797.14/1,195.56 = 219.96/x
  3. Step 3: Cross multiply
    797.14x = 1,195.56 × 219.96
  4. Step 4: Simplify right side
    797.14x = 262,975.38
  5. Step 5: Solve for x
    x = 262,975.38/797.14
  6. Step 6: Final answer
    x = 329.90

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Why These Related Problems?

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