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Finding the Fourth Proportional to 1,073.09, 1,609.77 and 423.68

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Solution

The fourth proportional to 1,073.09, 1,609.77 and 423.68 is: 635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.09 : 1,609.77 = 423.68 : x
  2. Step 2: Convert to fraction form
    1,073.09/1,609.77 = 423.68/x
  3. Step 3: Cross multiply
    1,073.09x = 1,609.77 × 423.68
  4. Step 4: Simplify right side
    1,073.09x = 682,019.30
  5. Step 5: Solve for x
    x = 682,019.30/1,073.09
  6. Step 6: Final answer
    x = 635.57

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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.