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Finding the Fourth Proportional to 686.57, 1,029.14 and 321.06

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Solution

The fourth proportional to 686.57, 1,029.14 and 321.06 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.57 : 1,029.14 = 321.06 : x
  2. Step 2: Convert to fraction form
    686.57/1,029.14 = 321.06/x
  3. Step 3: Cross multiply
    686.57x = 1,029.14 × 321.06
  4. Step 4: Simplify right side
    686.57x = 330,414.08
  5. Step 5: Solve for x
    x = 330,414.08/686.57
  6. Step 6: Final answer
    x = 481.25

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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.