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Finding the Fourth Proportional to 798.76, 1,198.14 and 221.64

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Solution

The fourth proportional to 798.76, 1,198.14 and 221.64 is: 332.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.76 : 1,198.14 = 221.64 : x
  2. Step 2: Convert to fraction form
    798.76/1,198.14 = 221.64/x
  3. Step 3: Cross multiply
    798.76x = 1,198.14 × 221.64
  4. Step 4: Simplify right side
    798.76x = 265,555.75
  5. Step 5: Solve for x
    x = 265,555.75/798.76
  6. Step 6: Final answer
    x = 332.46

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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.