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Finding the Fourth Proportional to 769.38, 1,153.74 and 403.92

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Solution

The fourth proportional to 769.38, 1,153.74 and 403.92 is: 605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.38 : 1,153.74 = 403.92 : x
  2. Step 2: Convert to fraction form
    769.38/1,153.74 = 403.92/x
  3. Step 3: Cross multiply
    769.38x = 1,153.74 × 403.92
  4. Step 4: Simplify right side
    769.38x = 466,018.66
  5. Step 5: Solve for x
    x = 466,018.66/769.38
  6. Step 6: Final answer
    x = 605.71

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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.