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Finding the Fourth Proportional to 796.15, 1,194.09 and 487.90

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Solution

The fourth proportional to 796.15, 1,194.09 and 487.90 is: 731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.15 : 1,194.09 = 487.90 : x
  2. Step 2: Convert to fraction form
    796.15/1,194.09 = 487.90/x
  3. Step 3: Cross multiply
    796.15x = 1,194.09 × 487.90
  4. Step 4: Simplify right side
    796.15x = 582,596.51
  5. Step 5: Solve for x
    x = 582,596.51/796.15
  6. Step 6: Final answer
    x = 731.77

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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.