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Finding the Fourth Proportional to 1,264.53, 1,745.93 and 792.63

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Solution

The fourth proportional to 1,264.53, 1,745.93 and 792.63 is: 1,094.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.53 : 1,745.93 = 792.63 : x
  2. Step 2: Convert to fraction form
    1,264.53/1,745.93 = 792.63/x
  3. Step 3: Cross multiply
    1,264.53x = 1,745.93 × 792.63
  4. Step 4: Simplify right side
    1,264.53x = 1,383,872.53
  5. Step 5: Solve for x
    x = 1,383,872.53/1,264.53
  6. Step 6: Final answer
    x = 1,094.38

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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.