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Finding the Fourth Proportional to 723.73, 1,083.85 and 414.64

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Solution

The fourth proportional to 723.73, 1,083.85 and 414.64 is: 620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.73 : 1,083.85 = 414.64 : x
  2. Step 2: Convert to fraction form
    723.73/1,083.85 = 414.64/x
  3. Step 3: Cross multiply
    723.73x = 1,083.85 × 414.64
  4. Step 4: Simplify right side
    723.73x = 449,410.93
  5. Step 5: Solve for x
    x = 449,410.93/723.73
  6. Step 6: Final answer
    x = 620.96

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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.