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Finding the Fourth Proportional to 626.94, 938.70 and 523.44

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Solution

The fourth proportional to 626.94, 938.70 and 523.44 is: 783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.94 : 938.70 = 523.44 : x
  2. Step 2: Convert to fraction form
    626.94/938.70 = 523.44/x
  3. Step 3: Cross multiply
    626.94x = 938.70 × 523.44
  4. Step 4: Simplify right side
    626.94x = 491,353.13
  5. Step 5: Solve for x
    x = 491,353.13/626.94
  6. Step 6: Final answer
    x = 783.73

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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.