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Finding the Fourth Proportional to 671.44, 1,007.13 and 184.48

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Solution

The fourth proportional to 671.44, 1,007.13 and 184.48 is: 276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.44 : 1,007.13 = 184.48 : x
  2. Step 2: Convert to fraction form
    671.44/1,007.13 = 184.48/x
  3. Step 3: Cross multiply
    671.44x = 1,007.13 × 184.48
  4. Step 4: Simplify right side
    671.44x = 185,793.52
  5. Step 5: Solve for x
    x = 185,793.52/671.44
  6. Step 6: Final answer
    x = 276.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.