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Finding the Fourth Proportional to 769.31, 1,153.94 and 214.02

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Solution

The fourth proportional to 769.31, 1,153.94 and 214.02 is: 321.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.31 : 1,153.94 = 214.02 : x
  2. Step 2: Convert to fraction form
    769.31/1,153.94 = 214.02/x
  3. Step 3: Cross multiply
    769.31x = 1,153.94 × 214.02
  4. Step 4: Simplify right side
    769.31x = 246,965.17
  5. Step 5: Solve for x
    x = 246,965.17/769.31
  6. Step 6: Final answer
    x = 321.02

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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.