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Finding the Fourth Proportional to 906.26, 1,358.17 and 516.38

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Solution

The fourth proportional to 906.26, 1,358.17 and 516.38 is: 773.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.26 : 1,358.17 = 516.38 : x
  2. Step 2: Convert to fraction form
    906.26/1,358.17 = 516.38/x
  3. Step 3: Cross multiply
    906.26x = 1,358.17 × 516.38
  4. Step 4: Simplify right side
    906.26x = 701,323.74
  5. Step 5: Solve for x
    x = 701,323.74/906.26
  6. Step 6: Final answer
    x = 773.87

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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.