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Finding the Fourth Proportional to 721.67, 1,082.34 and 310.59

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Solution

The fourth proportional to 721.67, 1,082.34 and 310.59 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.67 : 1,082.34 = 310.59 : x
  2. Step 2: Convert to fraction form
    721.67/1,082.34 = 310.59/x
  3. Step 3: Cross multiply
    721.67x = 1,082.34 × 310.59
  4. Step 4: Simplify right side
    721.67x = 336,163.98
  5. Step 5: Solve for x
    x = 336,163.98/721.67
  6. Step 6: Final answer
    x = 465.82

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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.