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Finding the Fourth Proportional to 686.11, 1,029.67 and 275.37

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Solution

The fourth proportional to 686.11, 1,029.67 and 275.37 is: 413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.11 : 1,029.67 = 275.37 : x
  2. Step 2: Convert to fraction form
    686.11/1,029.67 = 275.37/x
  3. Step 3: Cross multiply
    686.11x = 1,029.67 × 275.37
  4. Step 4: Simplify right side
    686.11x = 283,540.23
  5. Step 5: Solve for x
    x = 283,540.23/686.11
  6. Step 6: Final answer
    x = 413.26

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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.