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Finding the Fourth Proportional to 709.67, 1,063.33 and 682.67

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Solution

The fourth proportional to 709.67, 1,063.33 and 682.67 is: 1,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.67 : 1,063.33 = 682.67 : x
  2. Step 2: Convert to fraction form
    709.67/1,063.33 = 682.67/x
  3. Step 3: Cross multiply
    709.67x = 1,063.33 × 682.67
  4. Step 4: Simplify right side
    709.67x = 725,896.47
  5. Step 5: Solve for x
    x = 725,896.47/709.67
  6. Step 6: Final answer
    x = 1,022.87

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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.