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Finding the Fourth Proportional to 798.24, 1,197.54 and 221.16

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Solution

The fourth proportional to 798.24, 1,197.54 and 221.16 is: 331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.24 : 1,197.54 = 221.16 : x
  2. Step 2: Convert to fraction form
    798.24/1,197.54 = 221.16/x
  3. Step 3: Cross multiply
    798.24x = 1,197.54 × 221.16
  4. Step 4: Simplify right side
    798.24x = 264,847.95
  5. Step 5: Solve for x
    x = 264,847.95/798.24
  6. Step 6: Final answer
    x = 331.79

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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.