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Finding the Fourth Proportional to 627.74, 865.80 and 556.94

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Solution

The fourth proportional to 627.74, 865.80 and 556.94 is: 768.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.74 : 865.80 = 556.94 : x
  2. Step 2: Convert to fraction form
    627.74/865.80 = 556.94/x
  3. Step 3: Cross multiply
    627.74x = 865.80 × 556.94
  4. Step 4: Simplify right side
    627.74x = 482,198.65
  5. Step 5: Solve for x
    x = 482,198.65/627.74
  6. Step 6: Final answer
    x = 768.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.