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Finding the Fourth Proportional to 1,198.17, 1,797.66 and 548.96

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Solution

The fourth proportional to 1,198.17, 1,797.66 and 548.96 is: 823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.17 : 1,797.66 = 548.96 : x
  2. Step 2: Convert to fraction form
    1,198.17/1,797.66 = 548.96/x
  3. Step 3: Cross multiply
    1,198.17x = 1,797.66 × 548.96
  4. Step 4: Simplify right side
    1,198.17x = 986,834.45
  5. Step 5: Solve for x
    x = 986,834.45/1,198.17
  6. Step 6: Final answer
    x = 823.62

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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.