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Finding the Fourth Proportional to 883.24, 1,218.66 and 572.44

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Solution

The fourth proportional to 883.24, 1,218.66 and 572.44 is: 789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.24 : 1,218.66 = 572.44 : x
  2. Step 2: Convert to fraction form
    883.24/1,218.66 = 572.44/x
  3. Step 3: Cross multiply
    883.24x = 1,218.66 × 572.44
  4. Step 4: Simplify right side
    883.24x = 697,609.73
  5. Step 5: Solve for x
    x = 697,609.73/883.24
  6. Step 6: Final answer
    x = 789.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.