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Finding the Fourth Proportional to 777.62, 1,164.12 and 516.73

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Solution

The fourth proportional to 777.62, 1,164.12 and 516.73 is: 773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.62 : 1,164.12 = 516.73 : x
  2. Step 2: Convert to fraction form
    777.62/1,164.12 = 516.73/x
  3. Step 3: Cross multiply
    777.62x = 1,164.12 × 516.73
  4. Step 4: Simplify right side
    777.62x = 601,529.91
  5. Step 5: Solve for x
    x = 601,529.91/777.62
  6. Step 6: Final answer
    x = 773.55

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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.