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Finding the Fourth Proportional to 821.14, 1,231.78 and 334.20

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Solution

The fourth proportional to 821.14, 1,231.78 and 334.20 is: 501.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.14 : 1,231.78 = 334.20 : x
  2. Step 2: Convert to fraction form
    821.14/1,231.78 = 334.20/x
  3. Step 3: Cross multiply
    821.14x = 1,231.78 × 334.20
  4. Step 4: Simplify right side
    821.14x = 411,660.88
  5. Step 5: Solve for x
    x = 411,660.88/821.14
  6. Step 6: Final answer
    x = 501.33

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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.