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Finding the Fourth Proportional to 709.67, 1,064.73 and 247.43

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Solution

The fourth proportional to 709.67, 1,064.73 and 247.43 is: 371.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.67 : 1,064.73 = 247.43 : x
  2. Step 2: Convert to fraction form
    709.67/1,064.73 = 247.43/x
  3. Step 3: Cross multiply
    709.67x = 1,064.73 × 247.43
  4. Step 4: Simplify right side
    709.67x = 263,446.14
  5. Step 5: Solve for x
    x = 263,446.14/709.67
  6. Step 6: Final answer
    x = 371.22

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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.