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Finding the Fourth Proportional to 686.16, 1,029.41 and 199.22

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Solution

The fourth proportional to 686.16, 1,029.41 and 199.22 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.16 : 1,029.41 = 199.22 : x
  2. Step 2: Convert to fraction form
    686.16/1,029.41 = 199.22/x
  3. Step 3: Cross multiply
    686.16x = 1,029.41 × 199.22
  4. Step 4: Simplify right side
    686.16x = 205,073.66
  5. Step 5: Solve for x
    x = 205,073.66/686.16
  6. Step 6: Final answer
    x = 298.87

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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.