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Finding the Fourth Proportional to 672.62, 1,008.95 and 261.85

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Solution

The fourth proportional to 672.62, 1,008.95 and 261.85 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.62 : 1,008.95 = 261.85 : x
  2. Step 2: Convert to fraction form
    672.62/1,008.95 = 261.85/x
  3. Step 3: Cross multiply
    672.62x = 1,008.95 × 261.85
  4. Step 4: Simplify right side
    672.62x = 264,193.56
  5. Step 5: Solve for x
    x = 264,193.56/672.62
  6. Step 6: Final answer
    x = 392.78

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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.