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Finding the Fourth Proportional to 769.14, 1,153.84 and 282.54

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Solution

The fourth proportional to 769.14, 1,153.84 and 282.54 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.14 : 1,153.84 = 282.54 : x
  2. Step 2: Convert to fraction form
    769.14/1,153.84 = 282.54/x
  3. Step 3: Cross multiply
    769.14x = 1,153.84 × 282.54
  4. Step 4: Simplify right side
    769.14x = 326,005.95
  5. Step 5: Solve for x
    x = 326,005.95/769.14
  6. Step 6: Final answer
    x = 423.86

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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.