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Finding the Fourth Proportional to 686.83, 1,029.97 and 254.02

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Solution

The fourth proportional to 686.83, 1,029.97 and 254.02 is: 380.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.83 : 1,029.97 = 254.02 : x
  2. Step 2: Convert to fraction form
    686.83/1,029.97 = 254.02/x
  3. Step 3: Cross multiply
    686.83x = 1,029.97 × 254.02
  4. Step 4: Simplify right side
    686.83x = 261,626.56
  5. Step 5: Solve for x
    x = 261,626.56/686.83
  6. Step 6: Final answer
    x = 380.92

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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.