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Finding the Fourth Proportional to 686, 1,029.09 and 301.34

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Solution

The fourth proportional to 686, 1,029.09 and 301.34 is: 452.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    686 : 1,029.09 = 301.34 : x
  2. Step 2: Convert to fraction form
    686/1,029.09 = 301.34/x
  3. Step 3: Cross multiply
    686x = 1,029.09 × 301.34
  4. Step 4: Simplify right side
    686x = 310,105.98
  5. Step 5: Solve for x
    x = 310,105.98/686
  6. Step 6: Final answer
    x = 452.05

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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.