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Finding the Fourth Proportional to 686.26, 1,029.39 and 362.26

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Solution

The fourth proportional to 686.26, 1,029.39 and 362.26 is: 543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.26 : 1,029.39 = 362.26 : x
  2. Step 2: Convert to fraction form
    686.26/1,029.39 = 362.26/x
  3. Step 3: Cross multiply
    686.26x = 1,029.39 × 362.26
  4. Step 4: Simplify right side
    686.26x = 372,906.82
  5. Step 5: Solve for x
    x = 372,906.82/686.26
  6. Step 6: Final answer
    x = 543.39

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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.