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Finding the Fourth Proportional to 789.24, 1,183.38 and 447.48

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Solution

The fourth proportional to 789.24, 1,183.38 and 447.48 is: 670.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.24 : 1,183.38 = 447.48 : x
  2. Step 2: Convert to fraction form
    789.24/1,183.38 = 447.48/x
  3. Step 3: Cross multiply
    789.24x = 1,183.38 × 447.48
  4. Step 4: Simplify right side
    789.24x = 529,538.88
  5. Step 5: Solve for x
    x = 529,538.88/789.24
  6. Step 6: Final answer
    x = 670.95

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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.