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Finding the Fourth Proportional to 1,074.09, 1,609.91 and 495.75

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Solution

The fourth proportional to 1,074.09, 1,609.91 and 495.75 is: 743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.09 : 1,609.91 = 495.75 : x
  2. Step 2: Convert to fraction form
    1,074.09/1,609.91 = 495.75/x
  3. Step 3: Cross multiply
    1,074.09x = 1,609.91 × 495.75
  4. Step 4: Simplify right side
    1,074.09x = 798,110.40
  5. Step 5: Solve for x
    x = 798,110.40/1,074.09
  6. Step 6: Final answer
    x = 743.06

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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.