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Finding the Fourth Proportional to 746.72, 1,119.93 and 381.31

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Solution

The fourth proportional to 746.72, 1,119.93 and 381.31 is: 571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.72 : 1,119.93 = 381.31 : x
  2. Step 2: Convert to fraction form
    746.72/1,119.93 = 381.31/x
  3. Step 3: Cross multiply
    746.72x = 1,119.93 × 381.31
  4. Step 4: Simplify right side
    746.72x = 427,036.28
  5. Step 5: Solve for x
    x = 427,036.28/746.72
  6. Step 6: Final answer
    x = 571.88

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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.