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Finding the Fourth Proportional to 796.42, 1,099.27 and 481.87

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Solution

The fourth proportional to 796.42, 1,099.27 and 481.87 is: 665.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.42 : 1,099.27 = 481.87 : x
  2. Step 2: Convert to fraction form
    796.42/1,099.27 = 481.87/x
  3. Step 3: Cross multiply
    796.42x = 1,099.27 × 481.87
  4. Step 4: Simplify right side
    796.42x = 529,705.23
  5. Step 5: Solve for x
    x = 529,705.23/796.42
  6. Step 6: Final answer
    x = 665.11

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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.