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Finding the Fourth Proportional to 736.58, 1,105.05 and 274.38

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Solution

The fourth proportional to 736.58, 1,105.05 and 274.38 is: 411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.58 : 1,105.05 = 274.38 : x
  2. Step 2: Convert to fraction form
    736.58/1,105.05 = 274.38/x
  3. Step 3: Cross multiply
    736.58x = 1,105.05 × 274.38
  4. Step 4: Simplify right side
    736.58x = 303,203.62
  5. Step 5: Solve for x
    x = 303,203.62/736.58
  6. Step 6: Final answer
    x = 411.64

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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.