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Finding the Fourth Proportional to 796.14, 1,194.26 and 333.83

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Solution

The fourth proportional to 796.14, 1,194.26 and 333.83 is: 500.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.14 : 1,194.26 = 333.83 : x
  2. Step 2: Convert to fraction form
    796.14/1,194.26 = 333.83/x
  3. Step 3: Cross multiply
    796.14x = 1,194.26 × 333.83
  4. Step 4: Simplify right side
    796.14x = 398,672.18
  5. Step 5: Solve for x
    x = 398,672.18/796.14
  6. Step 6: Final answer
    x = 500.76

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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.