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Finding the Fourth Proportional to 796.56, 1,099.16 and 481.84

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Solution

The fourth proportional to 796.56, 1,099.16 and 481.84 is: 664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.56 : 1,099.16 = 481.84 : x
  2. Step 2: Convert to fraction form
    796.56/1,099.16 = 481.84/x
  3. Step 3: Cross multiply
    796.56x = 1,099.16 × 481.84
  4. Step 4: Simplify right side
    796.56x = 529,619.25
  5. Step 5: Solve for x
    x = 529,619.25/796.56
  6. Step 6: Final answer
    x = 664.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.