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Finding the Fourth Proportional to 1,236.31, 1,854.23 and 414.56

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Solution

The fourth proportional to 1,236.31, 1,854.23 and 414.56 is: 621.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.31 : 1,854.23 = 414.56 : x
  2. Step 2: Convert to fraction form
    1,236.31/1,854.23 = 414.56/x
  3. Step 3: Cross multiply
    1,236.31x = 1,854.23 × 414.56
  4. Step 4: Simplify right side
    1,236.31x = 768,692.15
  5. Step 5: Solve for x
    x = 768,692.15/1,236.31
  6. Step 6: Final answer
    x = 621.76

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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.