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Finding the Fourth Proportional to 837.43, 1,255.97 and 289.53

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Solution

The fourth proportional to 837.43, 1,255.97 and 289.53 is: 434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.43 : 1,255.97 = 289.53 : x
  2. Step 2: Convert to fraction form
    837.43/1,255.97 = 289.53/x
  3. Step 3: Cross multiply
    837.43x = 1,255.97 × 289.53
  4. Step 4: Simplify right side
    837.43x = 363,641.72
  5. Step 5: Solve for x
    x = 363,641.72/837.43
  6. Step 6: Final answer
    x = 434.24

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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.