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Finding the Fourth Proportional to 786.20, 1,178.46 and 265.73

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Solution

The fourth proportional to 786.20, 1,178.46 and 265.73 is: 398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.20 : 1,178.46 = 265.73 : x
  2. Step 2: Convert to fraction form
    786.20/1,178.46 = 265.73/x
  3. Step 3: Cross multiply
    786.20x = 1,178.46 × 265.73
  4. Step 4: Simplify right side
    786.20x = 313,146.28
  5. Step 5: Solve for x
    x = 313,146.28/786.20
  6. Step 6: Final answer
    x = 398.31

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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.