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Finding the Fourth Proportional to 671.31, 1,005.75 and 451.80

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Solution

The fourth proportional to 671.31, 1,005.75 and 451.80 is: 676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.31 : 1,005.75 = 451.80 : x
  2. Step 2: Convert to fraction form
    671.31/1,005.75 = 451.80/x
  3. Step 3: Cross multiply
    671.31x = 1,005.75 × 451.80
  4. Step 4: Simplify right side
    671.31x = 454,397.85
  5. Step 5: Solve for x
    x = 454,397.85/671.31
  6. Step 6: Final answer
    x = 676.88

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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.