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Finding the Fourth Proportional to 1,198.62, 1,798.03 and 332.93

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Solution

The fourth proportional to 1,198.62, 1,798.03 and 332.93 is: 499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.62 : 1,798.03 = 332.93 : x
  2. Step 2: Convert to fraction form
    1,198.62/1,798.03 = 332.93/x
  3. Step 3: Cross multiply
    1,198.62x = 1,798.03 × 332.93
  4. Step 4: Simplify right side
    1,198.62x = 598,618.13
  5. Step 5: Solve for x
    x = 598,618.13/1,198.62
  6. Step 6: Final answer
    x = 499.42

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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.