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Finding the Fourth Proportional to 686.32, 1,028.94 and 443.32

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Solution

The fourth proportional to 686.32, 1,028.94 and 443.32 is: 664.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.32 : 1,028.94 = 443.32 : x
  2. Step 2: Convert to fraction form
    686.32/1,028.94 = 443.32/x
  3. Step 3: Cross multiply
    686.32x = 1,028.94 × 443.32
  4. Step 4: Simplify right side
    686.32x = 456,149.68
  5. Step 5: Solve for x
    x = 456,149.68/686.32
  6. Step 6: Final answer
    x = 664.63

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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.