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Finding the Fourth Proportional to 721.89, 1,082.73 and 234.93

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Solution

The fourth proportional to 721.89, 1,082.73 and 234.93 is: 352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.89 : 1,082.73 = 234.93 : x
  2. Step 2: Convert to fraction form
    721.89/1,082.73 = 234.93/x
  3. Step 3: Cross multiply
    721.89x = 1,082.73 × 234.93
  4. Step 4: Simplify right side
    721.89x = 254,365.76
  5. Step 5: Solve for x
    x = 254,365.76/721.89
  6. Step 6: Final answer
    x = 352.36

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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.