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Finding the Fourth Proportional to 796.49, 1,099.25 and 481.93

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Solution

The fourth proportional to 796.49, 1,099.25 and 481.93 is: 665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.49 : 1,099.25 = 481.93 : x
  2. Step 2: Convert to fraction form
    796.49/1,099.25 = 481.93/x
  3. Step 3: Cross multiply
    796.49x = 1,099.25 × 481.93
  4. Step 4: Simplify right side
    796.49x = 529,760.51
  5. Step 5: Solve for x
    x = 529,760.51/796.49
  6. Step 6: Final answer
    x = 665.12

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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.