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Finding the Fourth Proportional to 721.34, 1,081.87 and 201.21

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Solution

The fourth proportional to 721.34, 1,081.87 and 201.21 is: 301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.34 : 1,081.87 = 201.21 : x
  2. Step 2: Convert to fraction form
    721.34/1,081.87 = 201.21/x
  3. Step 3: Cross multiply
    721.34x = 1,081.87 × 201.21
  4. Step 4: Simplify right side
    721.34x = 217,683.06
  5. Step 5: Solve for x
    x = 217,683.06/721.34
  6. Step 6: Final answer
    x = 301.78

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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.