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Finding the Fourth Proportional to 776.82, 1,162.80 and 516.27

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Solution

The fourth proportional to 776.82, 1,162.80 and 516.27 is: 772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.82 : 1,162.80 = 516.27 : x
  2. Step 2: Convert to fraction form
    776.82/1,162.80 = 516.27/x
  3. Step 3: Cross multiply
    776.82x = 1,162.80 × 516.27
  4. Step 4: Simplify right side
    776.82x = 600,318.76
  5. Step 5: Solve for x
    x = 600,318.76/776.82
  6. Step 6: Final answer
    x = 772.79

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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.