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Finding the Fourth Proportional to 821.91, 1,233.03 and 274.08

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Solution

The fourth proportional to 821.91, 1,233.03 and 274.08 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.91 : 1,233.03 = 274.08 : x
  2. Step 2: Convert to fraction form
    821.91/1,233.03 = 274.08/x
  3. Step 3: Cross multiply
    821.91x = 1,233.03 × 274.08
  4. Step 4: Simplify right side
    821.91x = 337,948.86
  5. Step 5: Solve for x
    x = 337,948.86/821.91
  6. Step 6: Final answer
    x = 411.18

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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.