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Finding the Fourth Proportional to 796.36, 1,098.89 and 442.27

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Solution

The fourth proportional to 796.36, 1,098.89 and 442.27 is: 610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.36 : 1,098.89 = 442.27 : x
  2. Step 2: Convert to fraction form
    796.36/1,098.89 = 442.27/x
  3. Step 3: Cross multiply
    796.36x = 1,098.89 × 442.27
  4. Step 4: Simplify right side
    796.36x = 486,003.87
  5. Step 5: Solve for x
    x = 486,003.87/796.36
  6. Step 6: Final answer
    x = 610.28

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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.