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Finding the Fourth Proportional to 1,073.53, 1,609.89 and 496

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Solution

The fourth proportional to 1,073.53, 1,609.89 and 496 is: 743.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.53 : 1,609.89 = 496 : x
  2. Step 2: Convert to fraction form
    1,073.53/1,609.89 = 496/x
  3. Step 3: Cross multiply
    1,073.53x = 1,609.89 × 496
  4. Step 4: Simplify right side
    1,073.53x = 798,505.44
  5. Step 5: Solve for x
    x = 798,505.44/1,073.53
  6. Step 6: Final answer
    x = 743.81

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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.