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Finding the Fourth Proportional to 793.04, 1,094.40 and 461.44

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Solution

The fourth proportional to 793.04, 1,094.40 and 461.44 is: 636.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.04 : 1,094.40 = 461.44 : x
  2. Step 2: Convert to fraction form
    793.04/1,094.40 = 461.44/x
  3. Step 3: Cross multiply
    793.04x = 1,094.40 × 461.44
  4. Step 4: Simplify right side
    793.04x = 504,999.94
  5. Step 5: Solve for x
    x = 504,999.94/793.04
  6. Step 6: Final answer
    x = 636.79

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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.