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Finding the Fourth Proportional to 627.60, 834.06 and 627.60

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Solution

The fourth proportional to 627.60, 834.06 and 627.60 is: 834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.60 : 834.06 = 627.60 : x
  2. Step 2: Convert to fraction form
    627.60/834.06 = 627.60/x
  3. Step 3: Cross multiply
    627.60x = 834.06 × 627.60
  4. Step 4: Simplify right side
    627.60x = 523,456.06
  5. Step 5: Solve for x
    x = 523,456.06/627.60
  6. Step 6: Final answer
    x = 834.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.