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Finding the Fourth Proportional to 1,634.99, 2,452.28 and 539.08

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Solution

The fourth proportional to 1,634.99, 2,452.28 and 539.08 is: 808.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.99 : 2,452.28 = 539.08 : x
  2. Step 2: Convert to fraction form
    1,634.99/2,452.28 = 539.08/x
  3. Step 3: Cross multiply
    1,634.99x = 2,452.28 × 539.08
  4. Step 4: Simplify right side
    1,634.99x = 1,321,983.62
  5. Step 5: Solve for x
    x = 1,321,983.62/1,634.99
  6. Step 6: Final answer
    x = 808.56

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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.