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Finding the Fourth Proportional to 705.26, 1,057.69 and 211.65

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Solution

The fourth proportional to 705.26, 1,057.69 and 211.65 is: 317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.26 : 1,057.69 = 211.65 : x
  2. Step 2: Convert to fraction form
    705.26/1,057.69 = 211.65/x
  3. Step 3: Cross multiply
    705.26x = 1,057.69 × 211.65
  4. Step 4: Simplify right side
    705.26x = 223,856.39
  5. Step 5: Solve for x
    x = 223,856.39/705.26
  6. Step 6: Final answer
    x = 317.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.