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Finding the Fourth Proportional to 728.63, 1,092.94 and 180.81

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Solution

The fourth proportional to 728.63, 1,092.94 and 180.81 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.63 : 1,092.94 = 180.81 : x
  2. Step 2: Convert to fraction form
    728.63/1,092.94 = 180.81/x
  3. Step 3: Cross multiply
    728.63x = 1,092.94 × 180.81
  4. Step 4: Simplify right side
    728.63x = 197,611.40
  5. Step 5: Solve for x
    x = 197,611.40/728.63
  6. Step 6: Final answer
    x = 271.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.