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Finding the Fourth Proportional to 721.10, 1,081.87 and 234.20

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Solution

The fourth proportional to 721.10, 1,081.87 and 234.20 is: 351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.10 : 1,081.87 = 234.20 : x
  2. Step 2: Convert to fraction form
    721.10/1,081.87 = 234.20/x
  3. Step 3: Cross multiply
    721.10x = 1,081.87 × 234.20
  4. Step 4: Simplify right side
    721.10x = 253,376.07
  5. Step 5: Solve for x
    x = 253,376.07/721.10
  6. Step 6: Final answer
    x = 351.37

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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.