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Finding the Fourth Proportional to 871.84, 1,308.40 and 667

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Solution

The fourth proportional to 871.84, 1,308.40 and 667 is: 1,000.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.84 : 1,308.40 = 667 : x
  2. Step 2: Convert to fraction form
    871.84/1,308.40 = 667/x
  3. Step 3: Cross multiply
    871.84x = 1,308.40 × 667
  4. Step 4: Simplify right side
    871.84x = 872,702.80
  5. Step 5: Solve for x
    x = 872,702.80/871.84
  6. Step 6: Final answer
    x = 1,000.99

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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.