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Finding the Fourth Proportional to 1,635.58, 2,453.67 and 801.79

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Solution

The fourth proportional to 1,635.58, 2,453.67 and 801.79 is: 1,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.58 : 2,453.67 = 801.79 : x
  2. Step 2: Convert to fraction form
    1,635.58/2,453.67 = 801.79/x
  3. Step 3: Cross multiply
    1,635.58x = 2,453.67 × 801.79
  4. Step 4: Simplify right side
    1,635.58x = 1,967,328.07
  5. Step 5: Solve for x
    x = 1,967,328.07/1,635.58
  6. Step 6: Final answer
    x = 1,202.83

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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.