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Finding the Fourth Proportional to 1,073.26, 1,609.89 and 496.06

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Solution

The fourth proportional to 1,073.26, 1,609.89 and 496.06 is: 744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.26 : 1,609.89 = 496.06 : x
  2. Step 2: Convert to fraction form
    1,073.26/1,609.89 = 496.06/x
  3. Step 3: Cross multiply
    1,073.26x = 1,609.89 × 496.06
  4. Step 4: Simplify right side
    1,073.26x = 798,602.03
  5. Step 5: Solve for x
    x = 798,602.03/1,073.26
  6. Step 6: Final answer
    x = 744.09

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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.