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Finding the Fourth Proportional to 737.05, 1,105.82 and 274.87

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Solution

The fourth proportional to 737.05, 1,105.82 and 274.87 is: 412.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.05 : 1,105.82 = 274.87 : x
  2. Step 2: Convert to fraction form
    737.05/1,105.82 = 274.87/x
  3. Step 3: Cross multiply
    737.05x = 1,105.82 × 274.87
  4. Step 4: Simplify right side
    737.05x = 303,956.74
  5. Step 5: Solve for x
    x = 303,956.74/737.05
  6. Step 6: Final answer
    x = 412.40

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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.