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Finding the Fourth Proportional to 769.72, 1,154.34 and 221.95

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Solution

The fourth proportional to 769.72, 1,154.34 and 221.95 is: 332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.72 : 1,154.34 = 221.95 : x
  2. Step 2: Convert to fraction form
    769.72/1,154.34 = 221.95/x
  3. Step 3: Cross multiply
    769.72x = 1,154.34 × 221.95
  4. Step 4: Simplify right side
    769.72x = 256,205.76
  5. Step 5: Solve for x
    x = 256,205.76/769.72
  6. Step 6: Final answer
    x = 332.86

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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.