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Finding the Fourth Proportional to 733.59, 1,100.29 and 185.73

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Solution

The fourth proportional to 733.59, 1,100.29 and 185.73 is: 278.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.59 : 1,100.29 = 185.73 : x
  2. Step 2: Convert to fraction form
    733.59/1,100.29 = 185.73/x
  3. Step 3: Cross multiply
    733.59x = 1,100.29 × 185.73
  4. Step 4: Simplify right side
    733.59x = 204,356.86
  5. Step 5: Solve for x
    x = 204,356.86/733.59
  6. Step 6: Final answer
    x = 278.57

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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.