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Finding the Fourth Proportional to 862.26, 1,293.26 and 314.37

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Solution

The fourth proportional to 862.26, 1,293.26 and 314.37 is: 471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.26 : 1,293.26 = 314.37 : x
  2. Step 2: Convert to fraction form
    862.26/1,293.26 = 314.37/x
  3. Step 3: Cross multiply
    862.26x = 1,293.26 × 314.37
  4. Step 4: Simplify right side
    862.26x = 406,560.57
  5. Step 5: Solve for x
    x = 406,560.57/862.26
  6. Step 6: Final answer
    x = 471.51

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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.