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Finding the Fourth Proportional to 1,226.72, 1,839.48 and 837.32

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Solution

The fourth proportional to 1,226.72, 1,839.48 and 837.32 is: 1,255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.72 : 1,839.48 = 837.32 : x
  2. Step 2: Convert to fraction form
    1,226.72/1,839.48 = 837.32/x
  3. Step 3: Cross multiply
    1,226.72x = 1,839.48 × 837.32
  4. Step 4: Simplify right side
    1,226.72x = 1,540,233.39
  5. Step 5: Solve for x
    x = 1,540,233.39/1,226.72
  6. Step 6: Final answer
    x = 1,255.57

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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.