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Finding the Fourth Proportional to 936.49, 1,292.26 and 516.77

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Solution

The fourth proportional to 936.49, 1,292.26 and 516.77 is: 713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.49 : 1,292.26 = 516.77 : x
  2. Step 2: Convert to fraction form
    936.49/1,292.26 = 516.77/x
  3. Step 3: Cross multiply
    936.49x = 1,292.26 × 516.77
  4. Step 4: Simplify right side
    936.49x = 667,801.20
  5. Step 5: Solve for x
    x = 667,801.20/936.49
  6. Step 6: Final answer
    x = 713.09

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Why These Related Problems?

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