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Finding the Fourth Proportional to 793.11, 1,094.49 and 461.73

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Solution

The fourth proportional to 793.11, 1,094.49 and 461.73 is: 637.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.11 : 1,094.49 = 461.73 : x
  2. Step 2: Convert to fraction form
    793.11/1,094.49 = 461.73/x
  3. Step 3: Cross multiply
    793.11x = 1,094.49 × 461.73
  4. Step 4: Simplify right side
    793.11x = 505,358.87
  5. Step 5: Solve for x
    x = 505,358.87/793.11
  6. Step 6: Final answer
    x = 637.19

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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.