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Finding the Fourth Proportional to 737.96, 1,107.32 and 446.16

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Solution

The fourth proportional to 737.96, 1,107.32 and 446.16 is: 669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.96 : 1,107.32 = 446.16 : x
  2. Step 2: Convert to fraction form
    737.96/1,107.32 = 446.16/x
  3. Step 3: Cross multiply
    737.96x = 1,107.32 × 446.16
  4. Step 4: Simplify right side
    737.96x = 494,040.09
  5. Step 5: Solve for x
    x = 494,040.09/737.96
  6. Step 6: Final answer
    x = 669.47

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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.