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Finding the Fourth Proportional to 736.89, 1,105.02 and 274.59

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Solution

The fourth proportional to 736.89, 1,105.02 and 274.59 is: 411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.89 : 1,105.02 = 274.59 : x
  2. Step 2: Convert to fraction form
    736.89/1,105.02 = 274.59/x
  3. Step 3: Cross multiply
    736.89x = 1,105.02 × 274.59
  4. Step 4: Simplify right side
    736.89x = 303,427.44
  5. Step 5: Solve for x
    x = 303,427.44/736.89
  6. Step 6: Final answer
    x = 411.77

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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.