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Finding the Fourth Proportional to 724.26, 1,085.37 and 416.20

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Solution

The fourth proportional to 724.26, 1,085.37 and 416.20 is: 623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 1,085.37 = 416.20 : x
  2. Step 2: Convert to fraction form
    724.26/1,085.37 = 416.20/x
  3. Step 3: Cross multiply
    724.26x = 1,085.37 × 416.20
  4. Step 4: Simplify right side
    724.26x = 451,728.91
  5. Step 5: Solve for x
    x = 451,728.91/724.26
  6. Step 6: Final answer
    x = 623.71

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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.