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Finding the Fourth Proportional to 1,198.69, 1,798.05 and 333.02

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Solution

The fourth proportional to 1,198.69, 1,798.05 and 333.02 is: 499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.69 : 1,798.05 = 333.02 : x
  2. Step 2: Convert to fraction form
    1,198.69/1,798.05 = 333.02/x
  3. Step 3: Cross multiply
    1,198.69x = 1,798.05 × 333.02
  4. Step 4: Simplify right side
    1,198.69x = 598,792.35
  5. Step 5: Solve for x
    x = 598,792.35/1,198.69
  6. Step 6: Final answer
    x = 499.54

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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.