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Finding the Fourth Proportional to 1,198.10, 1,796.54 and 548.28

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Solution

The fourth proportional to 1,198.10, 1,796.54 and 548.28 is: 822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.10 : 1,796.54 = 548.28 : x
  2. Step 2: Convert to fraction form
    1,198.10/1,796.54 = 548.28/x
  3. Step 3: Cross multiply
    1,198.10x = 1,796.54 × 548.28
  4. Step 4: Simplify right side
    1,198.10x = 984,995.23
  5. Step 5: Solve for x
    x = 984,995.23/1,198.10
  6. Step 6: Final answer
    x = 822.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.