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Finding the Fourth Proportional to 1,236.78, 1,855.20 and 552.78

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Solution

The fourth proportional to 1,236.78, 1,855.20 and 552.78 is: 829.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.78 : 1,855.20 = 552.78 : x
  2. Step 2: Convert to fraction form
    1,236.78/1,855.20 = 552.78/x
  3. Step 3: Cross multiply
    1,236.78x = 1,855.20 × 552.78
  4. Step 4: Simplify right side
    1,236.78x = 1,025,517.46
  5. Step 5: Solve for x
    x = 1,025,517.46/1,236.78
  6. Step 6: Final answer
    x = 829.18

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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.