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Finding the Fourth Proportional to 842.57, 1,262.52 and 755.43

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Solution

The fourth proportional to 842.57, 1,262.52 and 755.43 is: 1,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.57 : 1,262.52 = 755.43 : x
  2. Step 2: Convert to fraction form
    842.57/1,262.52 = 755.43/x
  3. Step 3: Cross multiply
    842.57x = 1,262.52 × 755.43
  4. Step 4: Simplify right side
    842.57x = 953,745.48
  5. Step 5: Solve for x
    x = 953,745.48/842.57
  6. Step 6: Final answer
    x = 1,131.95

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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.