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Finding the Fourth Proportional to 1,198.89, 1,798.56 and 419.11

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Solution

The fourth proportional to 1,198.89, 1,798.56 and 419.11 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.89 : 1,798.56 = 419.11 : x
  2. Step 2: Convert to fraction form
    1,198.89/1,798.56 = 419.11/x
  3. Step 3: Cross multiply
    1,198.89x = 1,798.56 × 419.11
  4. Step 4: Simplify right side
    1,198.89x = 753,794.48
  5. Step 5: Solve for x
    x = 753,794.48/1,198.89
  6. Step 6: Final answer
    x = 628.74

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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.