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Finding the Fourth Proportional to 1,237.66, 1,855.11 and 826.23

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Solution

The fourth proportional to 1,237.66, 1,855.11 and 826.23 is: 1,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.66 : 1,855.11 = 826.23 : x
  2. Step 2: Convert to fraction form
    1,237.66/1,855.11 = 826.23/x
  3. Step 3: Cross multiply
    1,237.66x = 1,855.11 × 826.23
  4. Step 4: Simplify right side
    1,237.66x = 1,532,747.54
  5. Step 5: Solve for x
    x = 1,532,747.54/1,237.66
  6. Step 6: Final answer
    x = 1,238.42

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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.