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Finding the Fourth Proportional to 1,206, 1,805.24 and 838.96

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Solution

The fourth proportional to 1,206, 1,805.24 and 838.96 is: 1,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206 : 1,805.24 = 838.96 : x
  2. Step 2: Convert to fraction form
    1,206/1,805.24 = 838.96/x
  3. Step 3: Cross multiply
    1,206x = 1,805.24 × 838.96
  4. Step 4: Simplify right side
    1,206x = 1,514,524.15
  5. Step 5: Solve for x
    x = 1,514,524.15/1,206
  6. Step 6: Final answer
    x = 1,255.82

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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.