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Finding the Fourth Proportional to 626.95, 938.97 and 496.07

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Solution

The fourth proportional to 626.95, 938.97 and 496.07 is: 742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.95 : 938.97 = 496.07 : x
  2. Step 2: Convert to fraction form
    626.95/938.97 = 496.07/x
  3. Step 3: Cross multiply
    626.95x = 938.97 × 496.07
  4. Step 4: Simplify right side
    626.95x = 465,793.67
  5. Step 5: Solve for x
    x = 465,793.67/626.95
  6. Step 6: Final answer
    x = 742.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.