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Finding the Fourth Proportional to 798.96, 1,198.32 and 221.76

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Solution

The fourth proportional to 798.96, 1,198.32 and 221.76 is: 332.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.96 : 1,198.32 = 221.76 : x
  2. Step 2: Convert to fraction form
    798.96/1,198.32 = 221.76/x
  3. Step 3: Cross multiply
    798.96x = 1,198.32 × 221.76
  4. Step 4: Simplify right side
    798.96x = 265,739.44
  5. Step 5: Solve for x
    x = 265,739.44/798.96
  6. Step 6: Final answer
    x = 332.61

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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.