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Finding the Fourth Proportional to 736.36, 1,105.31 and 541.58

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Solution

The fourth proportional to 736.36, 1,105.31 and 541.58 is: 812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.36 : 1,105.31 = 541.58 : x
  2. Step 2: Convert to fraction form
    736.36/1,105.31 = 541.58/x
  3. Step 3: Cross multiply
    736.36x = 1,105.31 × 541.58
  4. Step 4: Simplify right side
    736.36x = 598,605.56
  5. Step 5: Solve for x
    x = 598,605.56/736.36
  6. Step 6: Final answer
    x = 812.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.