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Finding the Fourth Proportional to 671.06, 1,006.89 and 397.69

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Solution

The fourth proportional to 671.06, 1,006.89 and 397.69 is: 596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.06 : 1,006.89 = 397.69 : x
  2. Step 2: Convert to fraction form
    671.06/1,006.89 = 397.69/x
  3. Step 3: Cross multiply
    671.06x = 1,006.89 × 397.69
  4. Step 4: Simplify right side
    671.06x = 400,430.08
  5. Step 5: Solve for x
    x = 400,430.08/671.06
  6. Step 6: Final answer
    x = 596.71

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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.