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Finding the Fourth Proportional to 1,198.62, 1,798.20 and 376.96

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Solution

The fourth proportional to 1,198.62, 1,798.20 and 376.96 is: 565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.62 : 1,798.20 = 376.96 : x
  2. Step 2: Convert to fraction form
    1,198.62/1,798.20 = 376.96/x
  3. Step 3: Cross multiply
    1,198.62x = 1,798.20 × 376.96
  4. Step 4: Simplify right side
    1,198.62x = 677,849.47
  5. Step 5: Solve for x
    x = 677,849.47/1,198.62
  6. Step 6: Final answer
    x = 565.52

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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.