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Finding the Fourth Proportional to 736.80, 1,105.20 and 411.78

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Solution

The fourth proportional to 736.80, 1,105.20 and 411.78 is: 617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.80 : 1,105.20 = 411.78 : x
  2. Step 2: Convert to fraction form
    736.80/1,105.20 = 411.78/x
  3. Step 3: Cross multiply
    736.80x = 1,105.20 × 411.78
  4. Step 4: Simplify right side
    736.80x = 455,099.26
  5. Step 5: Solve for x
    x = 455,099.26/736.80
  6. Step 6: Final answer
    x = 617.67

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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.