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Finding the Fourth Proportional to 793.27, 1,094.82 and 461.80

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Solution

The fourth proportional to 793.27, 1,094.82 and 461.80 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.27 : 1,094.82 = 461.80 : x
  2. Step 2: Convert to fraction form
    793.27/1,094.82 = 461.80/x
  3. Step 3: Cross multiply
    793.27x = 1,094.82 × 461.80
  4. Step 4: Simplify right side
    793.27x = 505,587.88
  5. Step 5: Solve for x
    x = 505,587.88/793.27
  6. Step 6: Final answer
    x = 637.35

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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.