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Finding the Fourth Proportional to 686.17, 1,029.12 and 199.09

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Solution

The fourth proportional to 686.17, 1,029.12 and 199.09 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.17 : 1,029.12 = 199.09 : x
  2. Step 2: Convert to fraction form
    686.17/1,029.12 = 199.09/x
  3. Step 3: Cross multiply
    686.17x = 1,029.12 × 199.09
  4. Step 4: Simplify right side
    686.17x = 204,887.50
  5. Step 5: Solve for x
    x = 204,887.50/686.17
  6. Step 6: Final answer
    x = 298.60

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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.