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Finding the Fourth Proportional to 1,198.98, 1,792.98 and 871.02

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Solution

The fourth proportional to 1,198.98, 1,792.98 and 871.02 is: 1,302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.98 : 1,792.98 = 871.02 : x
  2. Step 2: Convert to fraction form
    1,198.98/1,792.98 = 871.02/x
  3. Step 3: Cross multiply
    1,198.98x = 1,792.98 × 871.02
  4. Step 4: Simplify right side
    1,198.98x = 1,561,721.44
  5. Step 5: Solve for x
    x = 1,561,721.44/1,198.98
  6. Step 6: Final answer
    x = 1,302.54

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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.