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Finding the Fourth Proportional to 705.74, 1,056.78 and 627.37

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Solution

The fourth proportional to 705.74, 1,056.78 and 627.37 is: 939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.74 : 1,056.78 = 627.37 : x
  2. Step 2: Convert to fraction form
    705.74/1,056.78 = 627.37/x
  3. Step 3: Cross multiply
    705.74x = 1,056.78 × 627.37
  4. Step 4: Simplify right side
    705.74x = 662,989.43
  5. Step 5: Solve for x
    x = 662,989.43/705.74
  6. Step 6: Final answer
    x = 939.43

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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.