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Finding the Fourth Proportional to 796.96, 1,193.68 and 775.04

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Solution

The fourth proportional to 796.96, 1,193.68 and 775.04 is: 1,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.96 : 1,193.68 = 775.04 : x
  2. Step 2: Convert to fraction form
    796.96/1,193.68 = 775.04/x
  3. Step 3: Cross multiply
    796.96x = 1,193.68 × 775.04
  4. Step 4: Simplify right side
    796.96x = 925,149.75
  5. Step 5: Solve for x
    x = 925,149.75/796.96
  6. Step 6: Final answer
    x = 1,160.85

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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.