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Finding the Fourth Proportional to 746.43, 1,120.36 and 381.48

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Solution

The fourth proportional to 746.43, 1,120.36 and 381.48 is: 572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.43 : 1,120.36 = 381.48 : x
  2. Step 2: Convert to fraction form
    746.43/1,120.36 = 381.48/x
  3. Step 3: Cross multiply
    746.43x = 1,120.36 × 381.48
  4. Step 4: Simplify right side
    746.43x = 427,394.93
  5. Step 5: Solve for x
    x = 427,394.93/746.43
  6. Step 6: Final answer
    x = 572.59

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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.