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Finding the Fourth Proportional to 769.09, 1,153.64 and 336.14

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Solution

The fourth proportional to 769.09, 1,153.64 and 336.14 is: 504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.09 : 1,153.64 = 336.14 : x
  2. Step 2: Convert to fraction form
    769.09/1,153.64 = 336.14/x
  3. Step 3: Cross multiply
    769.09x = 1,153.64 × 336.14
  4. Step 4: Simplify right side
    769.09x = 387,784.55
  5. Step 5: Solve for x
    x = 387,784.55/769.09
  6. Step 6: Final answer
    x = 504.21

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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.