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Finding the Fourth Proportional to 671.60, 1,006.96 and 397.77

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Solution

The fourth proportional to 671.60, 1,006.96 and 397.77 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.60 : 1,006.96 = 397.77 : x
  2. Step 2: Convert to fraction form
    671.60/1,006.96 = 397.77/x
  3. Step 3: Cross multiply
    671.60x = 1,006.96 × 397.77
  4. Step 4: Simplify right side
    671.60x = 400,538.48
  5. Step 5: Solve for x
    x = 400,538.48/671.60
  6. Step 6: Final answer
    x = 596.39

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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.