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Finding the Fourth Proportional to 771.54, 1,069.61 and 729.96

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Solution

The fourth proportional to 771.54, 1,069.61 and 729.96 is: 1,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.54 : 1,069.61 = 729.96 : x
  2. Step 2: Convert to fraction form
    771.54/1,069.61 = 729.96/x
  3. Step 3: Cross multiply
    771.54x = 1,069.61 × 729.96
  4. Step 4: Simplify right side
    771.54x = 780,772.52
  5. Step 5: Solve for x
    x = 780,772.52/771.54
  6. Step 6: Final answer
    x = 1,011.97

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.