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Finding the Fourth Proportional to 686.09, 1,029.17 and 199.18

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Solution

The fourth proportional to 686.09, 1,029.17 and 199.18 is: 298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.09 : 1,029.17 = 199.18 : x
  2. Step 2: Convert to fraction form
    686.09/1,029.17 = 199.18/x
  3. Step 3: Cross multiply
    686.09x = 1,029.17 × 199.18
  4. Step 4: Simplify right side
    686.09x = 204,986.51
  5. Step 5: Solve for x
    x = 204,986.51/686.09
  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.