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Finding the Fourth Proportional to 822.54, 1,233.81 and 274.73

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Solution

The fourth proportional to 822.54, 1,233.81 and 274.73 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.54 : 1,233.81 = 274.73 : x
  2. Step 2: Convert to fraction form
    822.54/1,233.81 = 274.73/x
  3. Step 3: Cross multiply
    822.54x = 1,233.81 × 274.73
  4. Step 4: Simplify right side
    822.54x = 338,958.45
  5. Step 5: Solve for x
    x = 338,958.45/822.54
  6. Step 6: Final answer
    x = 412.09

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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.