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Finding the Fourth Proportional to 800.74, 1,201.18 and 215.84

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Solution

The fourth proportional to 800.74, 1,201.18 and 215.84 is: 323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.74 : 1,201.18 = 215.84 : x
  2. Step 2: Convert to fraction form
    800.74/1,201.18 = 215.84/x
  3. Step 3: Cross multiply
    800.74x = 1,201.18 × 215.84
  4. Step 4: Simplify right side
    800.74x = 259,262.69
  5. Step 5: Solve for x
    x = 259,262.69/800.74
  6. Step 6: Final answer
    x = 323.78

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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.