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Finding the Fourth Proportional to 705.44, 1,056.84 and 629.18

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Solution

The fourth proportional to 705.44, 1,056.84 and 629.18 is: 942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.44 : 1,056.84 = 629.18 : x
  2. Step 2: Convert to fraction form
    705.44/1,056.84 = 629.18/x
  3. Step 3: Cross multiply
    705.44x = 1,056.84 × 629.18
  4. Step 4: Simplify right side
    705.44x = 664,942.59
  5. Step 5: Solve for x
    x = 664,942.59/705.44
  6. Step 6: Final answer
    x = 942.59

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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.