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Finding the Fourth Proportional to 814.46, 1,222.08 and 381.64

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Solution

The fourth proportional to 814.46, 1,222.08 and 381.64 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.46 : 1,222.08 = 381.64 : x
  2. Step 2: Convert to fraction form
    814.46/1,222.08 = 381.64/x
  3. Step 3: Cross multiply
    814.46x = 1,222.08 × 381.64
  4. Step 4: Simplify right side
    814.46x = 466,394.61
  5. Step 5: Solve for x
    x = 466,394.61/814.46
  6. Step 6: Final answer
    x = 572.64

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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.