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Finding the Fourth Proportional to 686.25, 1,029.24 and 199.22

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Solution

The fourth proportional to 686.25, 1,029.24 and 199.22 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 1,029.24 = 199.22 : x
  2. Step 2: Convert to fraction form
    686.25/1,029.24 = 199.22/x
  3. Step 3: Cross multiply
    686.25x = 1,029.24 × 199.22
  4. Step 4: Simplify right side
    686.25x = 205,040.05
  5. Step 5: Solve for x
    x = 205,040.05/686.25
  6. Step 6: Final answer
    x = 298.78

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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.