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Finding the Fourth Proportional to 736.56, 1,105.29 and 730.44

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Solution

The fourth proportional to 736.56, 1,105.29 and 730.44 is: 1,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.56 : 1,105.29 = 730.44 : x
  2. Step 2: Convert to fraction form
    736.56/1,105.29 = 730.44/x
  3. Step 3: Cross multiply
    736.56x = 1,105.29 × 730.44
  4. Step 4: Simplify right side
    736.56x = 807,348.03
  5. Step 5: Solve for x
    x = 807,348.03/736.56
  6. Step 6: Final answer
    x = 1,096.11

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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.