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Finding the Fourth Proportional to 796.25, 1,193.57 and 276.08

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Solution

The fourth proportional to 796.25, 1,193.57 and 276.08 is: 413.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.25 : 1,193.57 = 276.08 : x
  2. Step 2: Convert to fraction form
    796.25/1,193.57 = 276.08/x
  3. Step 3: Cross multiply
    796.25x = 1,193.57 × 276.08
  4. Step 4: Simplify right side
    796.25x = 329,513.46
  5. Step 5: Solve for x
    x = 329,513.46/796.25
  6. Step 6: Final answer
    x = 413.83

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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.