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Finding the Fourth Proportional to 821.79, 1,232.83 and 274

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Solution

The fourth proportional to 821.79, 1,232.83 and 274 is: 411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.79 : 1,232.83 = 274 : x
  2. Step 2: Convert to fraction form
    821.79/1,232.83 = 274/x
  3. Step 3: Cross multiply
    821.79x = 1,232.83 × 274
  4. Step 4: Simplify right side
    821.79x = 337,795.42
  5. Step 5: Solve for x
    x = 337,795.42/821.79
  6. Step 6: Final answer
    x = 411.05

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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.