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Finding the Fourth Proportional to 723.54, 1,083.26 and 550.92

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Solution

The fourth proportional to 723.54, 1,083.26 and 550.92 is: 824.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.54 : 1,083.26 = 550.92 : x
  2. Step 2: Convert to fraction form
    723.54/1,083.26 = 550.92/x
  3. Step 3: Cross multiply
    723.54x = 1,083.26 × 550.92
  4. Step 4: Simplify right side
    723.54x = 596,789.60
  5. Step 5: Solve for x
    x = 596,789.60/723.54
  6. Step 6: Final answer
    x = 824.82

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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.