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Finding the Fourth Proportional to 837.11, 1,255.39 and 289.17

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Solution

The fourth proportional to 837.11, 1,255.39 and 289.17 is: 433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.11 : 1,255.39 = 289.17 : x
  2. Step 2: Convert to fraction form
    837.11/1,255.39 = 289.17/x
  3. Step 3: Cross multiply
    837.11x = 1,255.39 × 289.17
  4. Step 4: Simplify right side
    837.11x = 363,020.40
  5. Step 5: Solve for x
    x = 363,020.40/837.11
  6. Step 6: Final answer
    x = 433.66

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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.