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Finding the Fourth Proportional to 516.51, 774.63 and 511.97

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Solution

The fourth proportional to 516.51, 774.63 and 511.97 is: 767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.51 : 774.63 = 511.97 : x
  2. Step 2: Convert to fraction form
    516.51/774.63 = 511.97/x
  3. Step 3: Cross multiply
    516.51x = 774.63 × 511.97
  4. Step 4: Simplify right side
    516.51x = 396,583.45
  5. Step 5: Solve for x
    x = 396,583.45/516.51
  6. Step 6: Final answer
    x = 767.81

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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.