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Finding the Fourth Proportional to 1,263.73, 1,745.51 and 892.37

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Solution

The fourth proportional to 1,263.73, 1,745.51 and 892.37 is: 1,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.73 : 1,745.51 = 892.37 : x
  2. Step 2: Convert to fraction form
    1,263.73/1,745.51 = 892.37/x
  3. Step 3: Cross multiply
    1,263.73x = 1,745.51 × 892.37
  4. Step 4: Simplify right side
    1,263.73x = 1,557,644.05
  5. Step 5: Solve for x
    x = 1,557,644.05/1,263.73
  6. Step 6: Final answer
    x = 1,232.57

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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.