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Finding the Fourth Proportional to 794.31, 1,191.42 and 246.44

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Solution

The fourth proportional to 794.31, 1,191.42 and 246.44 is: 369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.31 : 1,191.42 = 246.44 : x
  2. Step 2: Convert to fraction form
    794.31/1,191.42 = 246.44/x
  3. Step 3: Cross multiply
    794.31x = 1,191.42 × 246.44
  4. Step 4: Simplify right side
    794.31x = 293,607.59
  5. Step 5: Solve for x
    x = 293,607.59/794.31
  6. Step 6: Final answer
    x = 369.64

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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.