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Finding the Fourth Proportional to 837.12, 1,255.28 and 289.11

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Solution

The fourth proportional to 837.12, 1,255.28 and 289.11 is: 433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.12 : 1,255.28 = 289.11 : x
  2. Step 2: Convert to fraction form
    837.12/1,255.28 = 289.11/x
  3. Step 3: Cross multiply
    837.12x = 1,255.28 × 289.11
  4. Step 4: Simplify right side
    837.12x = 362,912.56
  5. Step 5: Solve for x
    x = 362,912.56/837.12
  6. Step 6: Final answer
    x = 433.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.