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Finding the Fourth Proportional to 1,234.38, 1,849.51 and 686.26

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Solution

The fourth proportional to 1,234.38, 1,849.51 and 686.26 is: 1,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.38 : 1,849.51 = 686.26 : x
  2. Step 2: Convert to fraction form
    1,234.38/1,849.51 = 686.26/x
  3. Step 3: Cross multiply
    1,234.38x = 1,849.51 × 686.26
  4. Step 4: Simplify right side
    1,234.38x = 1,269,244.73
  5. Step 5: Solve for x
    x = 1,269,244.73/1,234.38
  6. Step 6: Final answer
    x = 1,028.24

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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.