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Finding the Fourth Proportional to 796.18, 1,193.91 and 308.86

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Solution

The fourth proportional to 796.18, 1,193.91 and 308.86 is: 463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.18 : 1,193.91 = 308.86 : x
  2. Step 2: Convert to fraction form
    796.18/1,193.91 = 308.86/x
  3. Step 3: Cross multiply
    796.18x = 1,193.91 × 308.86
  4. Step 4: Simplify right side
    796.18x = 368,751.04
  5. Step 5: Solve for x
    x = 368,751.04/796.18
  6. Step 6: Final answer
    x = 463.15

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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.