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Finding the Fourth Proportional to 671.59, 1,006.74 and 281.71

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Solution

The fourth proportional to 671.59, 1,006.74 and 281.71 is: 422.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.59 : 1,006.74 = 281.71 : x
  2. Step 2: Convert to fraction form
    671.59/1,006.74 = 281.71/x
  3. Step 3: Cross multiply
    671.59x = 1,006.74 × 281.71
  4. Step 4: Simplify right side
    671.59x = 283,609.98
  5. Step 5: Solve for x
    x = 283,609.98/671.59
  6. Step 6: Final answer
    x = 422.30

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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.