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Finding the Fourth Proportional to 793.72, 1,190.57 and 306.43

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Solution

The fourth proportional to 793.72, 1,190.57 and 306.43 is: 459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.72 : 1,190.57 = 306.43 : x
  2. Step 2: Convert to fraction form
    793.72/1,190.57 = 306.43/x
  3. Step 3: Cross multiply
    793.72x = 1,190.57 × 306.43
  4. Step 4: Simplify right side
    793.72x = 364,826.37
  5. Step 5: Solve for x
    x = 364,826.37/793.72
  6. Step 6: Final answer
    x = 459.64

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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.