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Finding the Fourth Proportional to 708.72, 1,063.22 and 361.78

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Solution

The fourth proportional to 708.72, 1,063.22 and 361.78 is: 542.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.72 : 1,063.22 = 361.78 : x
  2. Step 2: Convert to fraction form
    708.72/1,063.22 = 361.78/x
  3. Step 3: Cross multiply
    708.72x = 1,063.22 × 361.78
  4. Step 4: Simplify right side
    708.72x = 384,651.73
  5. Step 5: Solve for x
    x = 384,651.73/708.72
  6. Step 6: Final answer
    x = 542.74

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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.