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Finding the Fourth Proportional to 769.05, 1,153.76 and 306.81

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Solution

The fourth proportional to 769.05, 1,153.76 and 306.81 is: 460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.05 : 1,153.76 = 306.81 : x
  2. Step 2: Convert to fraction form
    769.05/1,153.76 = 306.81/x
  3. Step 3: Cross multiply
    769.05x = 1,153.76 × 306.81
  4. Step 4: Simplify right side
    769.05x = 353,983.57
  5. Step 5: Solve for x
    x = 353,983.57/769.05
  6. Step 6: Final answer
    x = 460.29

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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.