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Finding the Fourth Proportional to 686.88, 1,028.64 and 662.04

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Solution

The fourth proportional to 686.88, 1,028.64 and 662.04 is: 991.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 1,028.64 = 662.04 : x
  2. Step 2: Convert to fraction form
    686.88/1,028.64 = 662.04/x
  3. Step 3: Cross multiply
    686.88x = 1,028.64 × 662.04
  4. Step 4: Simplify right side
    686.88x = 681,000.83
  5. Step 5: Solve for x
    x = 681,000.83/686.88
  6. Step 6: Final answer
    x = 991.44

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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.