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Finding the Fourth Proportional to 1,635.80, 2,453.74 and 481.54

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Solution

The fourth proportional to 1,635.80, 2,453.74 and 481.54 is: 722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.80 : 2,453.74 = 481.54 : x
  2. Step 2: Convert to fraction form
    1,635.80/2,453.74 = 481.54/x
  3. Step 3: Cross multiply
    1,635.80x = 2,453.74 × 481.54
  4. Step 4: Simplify right side
    1,635.80x = 1,181,573.96
  5. Step 5: Solve for x
    x = 1,181,573.96/1,635.80
  6. Step 6: Final answer
    x = 722.32

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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.