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Finding the Fourth Proportional to 1,262.26, 1,893.12 and 396.37

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Solution

The fourth proportional to 1,262.26, 1,893.12 and 396.37 is: 594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.26 : 1,893.12 = 396.37 : x
  2. Step 2: Convert to fraction form
    1,262.26/1,893.12 = 396.37/x
  3. Step 3: Cross multiply
    1,262.26x = 1,893.12 × 396.37
  4. Step 4: Simplify right side
    1,262.26x = 750,375.97
  5. Step 5: Solve for x
    x = 750,375.97/1,262.26
  6. Step 6: Final answer
    x = 594.47

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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.