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Finding the Fourth Proportional to 796.33, 1,191.96 and 612.85

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Solution

The fourth proportional to 796.33, 1,191.96 and 612.85 is: 917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.33 : 1,191.96 = 612.85 : x
  2. Step 2: Convert to fraction form
    796.33/1,191.96 = 612.85/x
  3. Step 3: Cross multiply
    796.33x = 1,191.96 × 612.85
  4. Step 4: Simplify right side
    796.33x = 730,492.69
  5. Step 5: Solve for x
    x = 730,492.69/796.33
  6. Step 6: Final answer
    x = 917.32

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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.