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Finding the Fourth Proportional to 721.25, 1,081.62 and 282.47

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Solution

The fourth proportional to 721.25, 1,081.62 and 282.47 is: 423.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.25 : 1,081.62 = 282.47 : x
  2. Step 2: Convert to fraction form
    721.25/1,081.62 = 282.47/x
  3. Step 3: Cross multiply
    721.25x = 1,081.62 × 282.47
  4. Step 4: Simplify right side
    721.25x = 305,525.20
  5. Step 5: Solve for x
    x = 305,525.20/721.25
  6. Step 6: Final answer
    x = 423.61

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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.