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Finding the Fourth Proportional to 793.38, 1,094.92 and 461.92

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Solution

The fourth proportional to 793.38, 1,094.92 and 461.92 is: 637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.38 : 1,094.92 = 461.92 : x
  2. Step 2: Convert to fraction form
    793.38/1,094.92 = 461.92/x
  3. Step 3: Cross multiply
    793.38x = 1,094.92 × 461.92
  4. Step 4: Simplify right side
    793.38x = 505,765.45
  5. Step 5: Solve for x
    x = 505,765.45/793.38
  6. Step 6: Final answer
    x = 637.48

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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.