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Finding the Fourth Proportional to 737.32, 1,105.44 and 445.72

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Solution

The fourth proportional to 737.32, 1,105.44 and 445.72 is: 668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.32 : 1,105.44 = 445.72 : x
  2. Step 2: Convert to fraction form
    737.32/1,105.44 = 445.72/x
  3. Step 3: Cross multiply
    737.32x = 1,105.44 × 445.72
  4. Step 4: Simplify right side
    737.32x = 492,716.72
  5. Step 5: Solve for x
    x = 492,716.72/737.32
  6. Step 6: Final answer
    x = 668.25

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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.