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Finding the Fourth Proportional to 1,144.87, 1,717.07 and 495.72

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Solution

The fourth proportional to 1,144.87, 1,717.07 and 495.72 is: 743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.87 : 1,717.07 = 495.72 : x
  2. Step 2: Convert to fraction form
    1,144.87/1,717.07 = 495.72/x
  3. Step 3: Cross multiply
    1,144.87x = 1,717.07 × 495.72
  4. Step 4: Simplify right side
    1,144.87x = 851,183.46
  5. Step 5: Solve for x
    x = 851,183.46/1,144.87
  6. Step 6: Final answer
    x = 743.48

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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.