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Finding the Fourth Proportional to 1,074.26, 1,609.37 and 902.04

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Solution

The fourth proportional to 1,074.26, 1,609.37 and 902.04 is: 1,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.26 : 1,609.37 = 902.04 : x
  2. Step 2: Convert to fraction form
    1,074.26/1,609.37 = 902.04/x
  3. Step 3: Cross multiply
    1,074.26x = 1,609.37 × 902.04
  4. Step 4: Simplify right side
    1,074.26x = 1,451,708.95
  5. Step 5: Solve for x
    x = 1,451,708.95/1,074.26
  6. Step 6: Final answer
    x = 1,351.35

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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.