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Finding the Fourth Proportional to 822.21, 1,233.17 and 274.33

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Solution

The fourth proportional to 822.21, 1,233.17 and 274.33 is: 411.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.21 : 1,233.17 = 274.33 : x
  2. Step 2: Convert to fraction form
    822.21/1,233.17 = 274.33/x
  3. Step 3: Cross multiply
    822.21x = 1,233.17 × 274.33
  4. Step 4: Simplify right side
    822.21x = 338,295.53
  5. Step 5: Solve for x
    x = 338,295.53/822.21
  6. Step 6: Final answer
    x = 411.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.