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Finding the Fourth Proportional to 1,021.82, 1,532.12 and 494.48

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Solution

The fourth proportional to 1,021.82, 1,532.12 and 494.48 is: 741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.82 : 1,532.12 = 494.48 : x
  2. Step 2: Convert to fraction form
    1,021.82/1,532.12 = 494.48/x
  3. Step 3: Cross multiply
    1,021.82x = 1,532.12 × 494.48
  4. Step 4: Simplify right side
    1,021.82x = 757,592.56
  5. Step 5: Solve for x
    x = 757,592.56/1,021.82
  6. Step 6: Final answer
    x = 741.42

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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.