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Finding the Fourth Proportional to 686.39, 1,029.62 and 199.49

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Solution

The fourth proportional to 686.39, 1,029.62 and 199.49 is: 299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.39 : 1,029.62 = 199.49 : x
  2. Step 2: Convert to fraction form
    686.39/1,029.62 = 199.49/x
  3. Step 3: Cross multiply
    686.39x = 1,029.62 × 199.49
  4. Step 4: Simplify right side
    686.39x = 205,394.24
  5. Step 5: Solve for x
    x = 205,394.24/686.39
  6. Step 6: Final answer
    x = 299.24

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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.