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Finding the Fourth Proportional to 793.02, 1,093.07 and 635.38

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Solution

The fourth proportional to 793.02, 1,093.07 and 635.38 is: 875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.02 : 1,093.07 = 635.38 : x
  2. Step 2: Convert to fraction form
    793.02/1,093.07 = 635.38/x
  3. Step 3: Cross multiply
    793.02x = 1,093.07 × 635.38
  4. Step 4: Simplify right side
    793.02x = 694,513.67
  5. Step 5: Solve for x
    x = 694,513.67/793.02
  6. Step 6: Final answer
    x = 875.78

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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.