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Finding the Fourth Proportional to 769.88, 1,154.82 and 256.88

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Solution

The fourth proportional to 769.88, 1,154.82 and 256.88 is: 385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.88 : 1,154.82 = 256.88 : x
  2. Step 2: Convert to fraction form
    769.88/1,154.82 = 256.88/x
  3. Step 3: Cross multiply
    769.88x = 1,154.82 × 256.88
  4. Step 4: Simplify right side
    769.88x = 296,645.03
  5. Step 5: Solve for x
    x = 296,645.03/769.88
  6. Step 6: Final answer
    x = 385.32

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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.