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Finding the Fourth Proportional to 814.84, 1,222.25 and 381.69

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Solution

The fourth proportional to 814.84, 1,222.25 and 381.69 is: 572.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.84 : 1,222.25 = 381.69 : x
  2. Step 2: Convert to fraction form
    814.84/1,222.25 = 381.69/x
  3. Step 3: Cross multiply
    814.84x = 1,222.25 × 381.69
  4. Step 4: Simplify right side
    814.84x = 466,520.60
  5. Step 5: Solve for x
    x = 466,520.60/814.84
  6. Step 6: Final answer
    x = 572.53

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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.