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Finding the Fourth Proportional to 769.33, 1,153.87 and 221.39

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Solution

The fourth proportional to 769.33, 1,153.87 and 221.39 is: 332.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.33 : 1,153.87 = 221.39 : x
  2. Step 2: Convert to fraction form
    769.33/1,153.87 = 221.39/x
  3. Step 3: Cross multiply
    769.33x = 1,153.87 × 221.39
  4. Step 4: Simplify right side
    769.33x = 255,454.53
  5. Step 5: Solve for x
    x = 255,454.53/769.33
  6. Step 6: Final answer
    x = 332.05

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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.