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Finding the Fourth Proportional to 769.14, 1,153.44 and 282.06

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Solution

The fourth proportional to 769.14, 1,153.44 and 282.06 is: 422.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.14 : 1,153.44 = 282.06 : x
  2. Step 2: Convert to fraction form
    769.14/1,153.44 = 282.06/x
  3. Step 3: Cross multiply
    769.14x = 1,153.44 × 282.06
  4. Step 4: Simplify right side
    769.14x = 325,339.29
  5. Step 5: Solve for x
    x = 325,339.29/769.14
  6. Step 6: Final answer
    x = 422.99

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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.