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Finding the Fourth Proportional to 1,198.22, 1,797.40 and 320.71

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Solution

The fourth proportional to 1,198.22, 1,797.40 and 320.71 is: 481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.22 : 1,797.40 = 320.71 : x
  2. Step 2: Convert to fraction form
    1,198.22/1,797.40 = 320.71/x
  3. Step 3: Cross multiply
    1,198.22x = 1,797.40 × 320.71
  4. Step 4: Simplify right side
    1,198.22x = 576,444.15
  5. Step 5: Solve for x
    x = 576,444.15/1,198.22
  6. Step 6: Final answer
    x = 481.08

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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.