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Finding the Fourth Proportional to 822.74, 1,234.18 and 329.03

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Solution

The fourth proportional to 822.74, 1,234.18 and 329.03 is: 493.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.74 : 1,234.18 = 329.03 : x
  2. Step 2: Convert to fraction form
    822.74/1,234.18 = 329.03/x
  3. Step 3: Cross multiply
    822.74x = 1,234.18 × 329.03
  4. Step 4: Simplify right side
    822.74x = 406,082.25
  5. Step 5: Solve for x
    x = 406,082.25/822.74
  6. Step 6: Final answer
    x = 493.57

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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.