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Finding the Fourth Proportional to 1,073.82, 1,609.11 and 496.02

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Solution

The fourth proportional to 1,073.82, 1,609.11 and 496.02 is: 743.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.82 : 1,609.11 = 496.02 : x
  2. Step 2: Convert to fraction form
    1,073.82/1,609.11 = 496.02/x
  3. Step 3: Cross multiply
    1,073.82x = 1,609.11 × 496.02
  4. Step 4: Simplify right side
    1,073.82x = 798,150.74
  5. Step 5: Solve for x
    x = 798,150.74/1,073.82
  6. Step 6: Final answer
    x = 743.28

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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.