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Finding the Fourth Proportional to 736.83, 1,105.23 and 303.69

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Solution

The fourth proportional to 736.83, 1,105.23 and 303.69 is: 455.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.83 : 1,105.23 = 303.69 : x
  2. Step 2: Convert to fraction form
    736.83/1,105.23 = 303.69/x
  3. Step 3: Cross multiply
    736.83x = 1,105.23 × 303.69
  4. Step 4: Simplify right side
    736.83x = 335,647.30
  5. Step 5: Solve for x
    x = 335,647.30/736.83
  6. Step 6: Final answer
    x = 455.53

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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.