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Finding the Fourth Proportional to 671.68, 1,008.12 and 398.02

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Solution

The fourth proportional to 671.68, 1,008.12 and 398.02 is: 597.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.68 : 1,008.12 = 398.02 : x
  2. Step 2: Convert to fraction form
    671.68/1,008.12 = 398.02/x
  3. Step 3: Cross multiply
    671.68x = 1,008.12 × 398.02
  4. Step 4: Simplify right side
    671.68x = 401,251.92
  5. Step 5: Solve for x
    x = 401,251.92/671.68
  6. Step 6: Final answer
    x = 597.39

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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.