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Finding the Fourth Proportional to 796.25, 1,193.30 and 384.57

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Solution

The fourth proportional to 796.25, 1,193.30 and 384.57 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.25 : 1,193.30 = 384.57 : x
  2. Step 2: Convert to fraction form
    796.25/1,193.30 = 384.57/x
  3. Step 3: Cross multiply
    796.25x = 1,193.30 × 384.57
  4. Step 4: Simplify right side
    796.25x = 458,906.90
  5. Step 5: Solve for x
    x = 458,906.90/796.25
  6. Step 6: Final answer
    x = 576.33

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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.