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Finding the Fourth Proportional to 822.43, 1,233.78 and 274.60

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Solution

The fourth proportional to 822.43, 1,233.78 and 274.60 is: 411.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.43 : 1,233.78 = 274.60 : x
  2. Step 2: Convert to fraction form
    822.43/1,233.78 = 274.60/x
  3. Step 3: Cross multiply
    822.43x = 1,233.78 × 274.60
  4. Step 4: Simplify right side
    822.43x = 338,795.99
  5. Step 5: Solve for x
    x = 338,795.99/822.43
  6. Step 6: Final answer
    x = 411.95

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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.