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Finding the Fourth Proportional to 794.10, 1,190.30 and 331.59

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Solution

The fourth proportional to 794.10, 1,190.30 and 331.59 is: 497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.10 : 1,190.30 = 331.59 : x
  2. Step 2: Convert to fraction form
    794.10/1,190.30 = 331.59/x
  3. Step 3: Cross multiply
    794.10x = 1,190.30 × 331.59
  4. Step 4: Simplify right side
    794.10x = 394,694.38
  5. Step 5: Solve for x
    x = 394,694.38/794.10
  6. Step 6: Final answer
    x = 497.03

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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.