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Finding the Fourth Proportional to 627.70, 940.20 and 546.70

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Solution

The fourth proportional to 627.70, 940.20 and 546.70 is: 818.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.70 : 940.20 = 546.70 : x
  2. Step 2: Convert to fraction form
    627.70/940.20 = 546.70/x
  3. Step 3: Cross multiply
    627.70x = 940.20 × 546.70
  4. Step 4: Simplify right side
    627.70x = 514,007.34
  5. Step 5: Solve for x
    x = 514,007.34/627.70
  6. Step 6: Final answer
    x = 818.87

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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.