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Finding the Fourth Proportional to 884.76, 1,324.50 and 729.96

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Solution

The fourth proportional to 884.76, 1,324.50 and 729.96 is: 1,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.76 : 1,324.50 = 729.96 : x
  2. Step 2: Convert to fraction form
    884.76/1,324.50 = 729.96/x
  3. Step 3: Cross multiply
    884.76x = 1,324.50 × 729.96
  4. Step 4: Simplify right side
    884.76x = 966,832.02
  5. Step 5: Solve for x
    x = 966,832.02/884.76
  6. Step 6: Final answer
    x = 1,092.76

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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.