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Finding the Fourth Proportional to 722.41, 1,082.82 and 461.59

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Solution

The fourth proportional to 722.41, 1,082.82 and 461.59 is: 691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.41 : 1,082.82 = 461.59 : x
  2. Step 2: Convert to fraction form
    722.41/1,082.82 = 461.59/x
  3. Step 3: Cross multiply
    722.41x = 1,082.82 × 461.59
  4. Step 4: Simplify right side
    722.41x = 499,818.88
  5. Step 5: Solve for x
    x = 499,818.88/722.41
  6. Step 6: Final answer
    x = 691.88

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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.