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Finding the Fourth Proportional to 705.97, 1,057.96 and 294.85

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Solution

The fourth proportional to 705.97, 1,057.96 and 294.85 is: 441.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.97 : 1,057.96 = 294.85 : x
  2. Step 2: Convert to fraction form
    705.97/1,057.96 = 294.85/x
  3. Step 3: Cross multiply
    705.97x = 1,057.96 × 294.85
  4. Step 4: Simplify right side
    705.97x = 311,939.51
  5. Step 5: Solve for x
    x = 311,939.51/705.97
  6. Step 6: Final answer
    x = 441.86

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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.