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Finding the Fourth Proportional to 1,198.36, 1,797.28 and 332.46

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Solution

The fourth proportional to 1,198.36, 1,797.28 and 332.46 is: 498.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.36 : 1,797.28 = 332.46 : x
  2. Step 2: Convert to fraction form
    1,198.36/1,797.28 = 332.46/x
  3. Step 3: Cross multiply
    1,198.36x = 1,797.28 × 332.46
  4. Step 4: Simplify right side
    1,198.36x = 597,523.71
  5. Step 5: Solve for x
    x = 597,523.71/1,198.36
  6. Step 6: Final answer
    x = 498.62

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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.