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Finding the Fourth Proportional to 837.34, 1,255.20 and 289.37

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Solution

The fourth proportional to 837.34, 1,255.20 and 289.37 is: 433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.34 : 1,255.20 = 289.37 : x
  2. Step 2: Convert to fraction form
    837.34/1,255.20 = 289.37/x
  3. Step 3: Cross multiply
    837.34x = 1,255.20 × 289.37
  4. Step 4: Simplify right side
    837.34x = 363,219.28
  5. Step 5: Solve for x
    x = 363,219.28/837.34
  6. Step 6: Final answer
    x = 433.78

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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.