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Finding the Fourth Proportional to 883.12, 1,324.68 and 641.19

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Solution

The fourth proportional to 883.12, 1,324.68 and 641.19 is: 961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.12 : 1,324.68 = 641.19 : x
  2. Step 2: Convert to fraction form
    883.12/1,324.68 = 641.19/x
  3. Step 3: Cross multiply
    883.12x = 1,324.68 × 641.19
  4. Step 4: Simplify right side
    883.12x = 849,367.76
  5. Step 5: Solve for x
    x = 849,367.76/883.12
  6. Step 6: Final answer
    x = 961.78

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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.