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Finding the Fourth Proportional to 686.21, 1,029.45 and 199.27

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Solution

The fourth proportional to 686.21, 1,029.45 and 199.27 is: 298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.21 : 1,029.45 = 199.27 : x
  2. Step 2: Convert to fraction form
    686.21/1,029.45 = 199.27/x
  3. Step 3: Cross multiply
    686.21x = 1,029.45 × 199.27
  4. Step 4: Simplify right side
    686.21x = 205,136.68
  5. Step 5: Solve for x
    x = 205,136.68/686.21
  6. Step 6: Final answer
    x = 298.94

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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.