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Finding the Fourth Proportional to 837.70, 1,151.39 and 738.88

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Solution

The fourth proportional to 837.70, 1,151.39 and 738.88 is: 1,015.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.70 : 1,151.39 = 738.88 : x
  2. Step 2: Convert to fraction form
    837.70/1,151.39 = 738.88/x
  3. Step 3: Cross multiply
    837.70x = 1,151.39 × 738.88
  4. Step 4: Simplify right side
    837.70x = 850,739.04
  5. Step 5: Solve for x
    x = 850,739.04/837.70
  6. Step 6: Final answer
    x = 1,015.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.