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Finding the Fourth Proportional to 1,264.44, 1,745.16 and 792.56

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Solution

The fourth proportional to 1,264.44, 1,745.16 and 792.56 is: 1,093.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.44 : 1,745.16 = 792.56 : x
  2. Step 2: Convert to fraction form
    1,264.44/1,745.16 = 792.56/x
  3. Step 3: Cross multiply
    1,264.44x = 1,745.16 × 792.56
  4. Step 4: Simplify right side
    1,264.44x = 1,383,144.01
  5. Step 5: Solve for x
    x = 1,383,144.01/1,264.44
  6. Step 6: Final answer
    x = 1,093.88

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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.