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Finding the Fourth Proportional to 723.28, 1,085.37 and 415.73

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Solution

The fourth proportional to 723.28, 1,085.37 and 415.73 is: 623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.28 : 1,085.37 = 415.73 : x
  2. Step 2: Convert to fraction form
    723.28/1,085.37 = 415.73/x
  3. Step 3: Cross multiply
    723.28x = 1,085.37 × 415.73
  4. Step 4: Simplify right side
    723.28x = 451,213.36
  5. Step 5: Solve for x
    x = 451,213.36/723.28
  6. Step 6: Final answer
    x = 623.85

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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.