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Finding the Fourth Proportional to 627.96, 942.12 and 513.48

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Solution

The fourth proportional to 627.96, 942.12 and 513.48 is: 770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.96 : 942.12 = 513.48 : x
  2. Step 2: Convert to fraction form
    627.96/942.12 = 513.48/x
  3. Step 3: Cross multiply
    627.96x = 942.12 × 513.48
  4. Step 4: Simplify right side
    627.96x = 483,759.78
  5. Step 5: Solve for x
    x = 483,759.78/627.96
  6. Step 6: Final answer
    x = 770.37

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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.