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Finding the Fourth Proportional to 1,198.84, 1,798.14 and 408.20

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Solution

The fourth proportional to 1,198.84, 1,798.14 and 408.20 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.84 : 1,798.14 = 408.20 : x
  2. Step 2: Convert to fraction form
    1,198.84/1,798.14 = 408.20/x
  3. Step 3: Cross multiply
    1,198.84x = 1,798.14 × 408.20
  4. Step 4: Simplify right side
    1,198.84x = 734,000.75
  5. Step 5: Solve for x
    x = 734,000.75/1,198.84
  6. Step 6: Final answer
    x = 612.26

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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.