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Finding the Fourth Proportional to 801.74, 1,202.61 and 224.61

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Solution

The fourth proportional to 801.74, 1,202.61 and 224.61 is: 336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.74 : 1,202.61 = 224.61 : x
  2. Step 2: Convert to fraction form
    801.74/1,202.61 = 224.61/x
  3. Step 3: Cross multiply
    801.74x = 1,202.61 × 224.61
  4. Step 4: Simplify right side
    801.74x = 270,118.23
  5. Step 5: Solve for x
    x = 270,118.23/801.74
  6. Step 6: Final answer
    x = 336.92

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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.