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Finding the Fourth Proportional to 736.62, 1,105.16 and 274.62

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Solution

The fourth proportional to 736.62, 1,105.16 and 274.62 is: 412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.62 : 1,105.16 = 274.62 : x
  2. Step 2: Convert to fraction form
    736.62/1,105.16 = 274.62/x
  3. Step 3: Cross multiply
    736.62x = 1,105.16 × 274.62
  4. Step 4: Simplify right side
    736.62x = 303,499.04
  5. Step 5: Solve for x
    x = 303,499.04/736.62
  6. Step 6: Final answer
    x = 412.02

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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.