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Finding the Fourth Proportional to 769.77, 1,154.43 and 221.99

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Solution

The fourth proportional to 769.77, 1,154.43 and 221.99 is: 332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.77 : 1,154.43 = 221.99 : x
  2. Step 2: Convert to fraction form
    769.77/1,154.43 = 221.99/x
  3. Step 3: Cross multiply
    769.77x = 1,154.43 × 221.99
  4. Step 4: Simplify right side
    769.77x = 256,266.14
  5. Step 5: Solve for x
    x = 256,266.14/769.77
  6. Step 6: Final answer
    x = 332.91

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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.