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Finding the Fourth Proportional to 626.76, 938.52 and 523.49

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Solution

The fourth proportional to 626.76, 938.52 and 523.49 is: 783.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.76 : 938.52 = 523.49 : x
  2. Step 2: Convert to fraction form
    626.76/938.52 = 523.49/x
  3. Step 3: Cross multiply
    626.76x = 938.52 × 523.49
  4. Step 4: Simplify right side
    626.76x = 491,301.14
  5. Step 5: Solve for x
    x = 491,301.14/626.76
  6. Step 6: Final answer
    x = 783.87

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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.