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Finding the Fourth Proportional to 769.20, 1,153.78 and 256.20

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Solution

The fourth proportional to 769.20, 1,153.78 and 256.20 is: 384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.20 : 1,153.78 = 256.20 : x
  2. Step 2: Convert to fraction form
    769.20/1,153.78 = 256.20/x
  3. Step 3: Cross multiply
    769.20x = 1,153.78 × 256.20
  4. Step 4: Simplify right side
    769.20x = 295,598.44
  5. Step 5: Solve for x
    x = 295,598.44/769.20
  6. Step 6: Final answer
    x = 384.29

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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.