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Finding the Fourth Proportional to 1,198.10, 1,796.27 and 375.91

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Solution

The fourth proportional to 1,198.10, 1,796.27 and 375.91 is: 563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.10 : 1,796.27 = 375.91 : x
  2. Step 2: Convert to fraction form
    1,198.10/1,796.27 = 375.91/x
  3. Step 3: Cross multiply
    1,198.10x = 1,796.27 × 375.91
  4. Step 4: Simplify right side
    1,198.10x = 675,229.49
  5. Step 5: Solve for x
    x = 675,229.49/1,198.10
  6. Step 6: Final answer
    x = 563.58

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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.