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Finding the Fourth Proportional to 1,634.82, 2,452.59 and 539.14

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Solution

The fourth proportional to 1,634.82, 2,452.59 and 539.14 is: 808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.82 : 2,452.59 = 539.14 : x
  2. Step 2: Convert to fraction form
    1,634.82/2,452.59 = 539.14/x
  3. Step 3: Cross multiply
    1,634.82x = 2,452.59 × 539.14
  4. Step 4: Simplify right side
    1,634.82x = 1,322,289.37
  5. Step 5: Solve for x
    x = 1,322,289.37/1,634.82
  6. Step 6: Final answer
    x = 808.83

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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.