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Finding the Fourth Proportional to 771.82, 1,063.55 and 682.61

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Solution

The fourth proportional to 771.82, 1,063.55 and 682.61 is: 940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.82 : 1,063.55 = 682.61 : x
  2. Step 2: Convert to fraction form
    771.82/1,063.55 = 682.61/x
  3. Step 3: Cross multiply
    771.82x = 1,063.55 × 682.61
  4. Step 4: Simplify right side
    771.82x = 725,989.87
  5. Step 5: Solve for x
    x = 725,989.87/771.82
  6. Step 6: Final answer
    x = 940.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.