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Finding the Fourth Proportional to 844.02, 1,163.03 and 798.12

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Solution

The fourth proportional to 844.02, 1,163.03 and 798.12 is: 1,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.02 : 1,163.03 = 798.12 : x
  2. Step 2: Convert to fraction form
    844.02/1,163.03 = 798.12/x
  3. Step 3: Cross multiply
    844.02x = 1,163.03 × 798.12
  4. Step 4: Simplify right side
    844.02x = 928,233.51
  5. Step 5: Solve for x
    x = 928,233.51/844.02
  6. Step 6: Final answer
    x = 1,099.78

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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.