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Finding the Fourth Proportional to 686.68, 1,029.94 and 199.73

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Solution

The fourth proportional to 686.68, 1,029.94 and 199.73 is: 299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.68 : 1,029.94 = 199.73 : x
  2. Step 2: Convert to fraction form
    686.68/1,029.94 = 199.73/x
  3. Step 3: Cross multiply
    686.68x = 1,029.94 × 199.73
  4. Step 4: Simplify right side
    686.68x = 205,714.73
  5. Step 5: Solve for x
    x = 205,714.73/686.68
  6. Step 6: Final answer
    x = 299.58

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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.