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Finding the Fourth Proportional to 1,229.09, 1,839.51 and 837.47

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Solution

The fourth proportional to 1,229.09, 1,839.51 and 837.47 is: 1,253.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.09 : 1,839.51 = 837.47 : x
  2. Step 2: Convert to fraction form
    1,229.09/1,839.51 = 837.47/x
  3. Step 3: Cross multiply
    1,229.09x = 1,839.51 × 837.47
  4. Step 4: Simplify right side
    1,229.09x = 1,540,534.44
  5. Step 5: Solve for x
    x = 1,540,534.44/1,229.09
  6. Step 6: Final answer
    x = 1,253.39

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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.