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Finding the Fourth Proportional to 686.24, 1,027.80 and 663.17

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Solution

The fourth proportional to 686.24, 1,027.80 and 663.17 is: 993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.24 : 1,027.80 = 663.17 : x
  2. Step 2: Convert to fraction form
    686.24/1,027.80 = 663.17/x
  3. Step 3: Cross multiply
    686.24x = 1,027.80 × 663.17
  4. Step 4: Simplify right side
    686.24x = 681,600.99
  5. Step 5: Solve for x
    x = 681,600.99/686.24
  6. Step 6: Final answer
    x = 993.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.