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Finding the Fourth Proportional to 721.93, 1,082.66 and 234.86

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Solution

The fourth proportional to 721.93, 1,082.66 and 234.86 is: 352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.93 : 1,082.66 = 234.86 : x
  2. Step 2: Convert to fraction form
    721.93/1,082.66 = 234.86/x
  3. Step 3: Cross multiply
    721.93x = 1,082.66 × 234.86
  4. Step 4: Simplify right side
    721.93x = 254,272.35
  5. Step 5: Solve for x
    x = 254,272.35/721.93
  6. Step 6: Final answer
    x = 352.21

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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.