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Finding the Fourth Proportional to 1,261.05, 1,889.10 and 826.89

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Solution

The fourth proportional to 1,261.05, 1,889.10 and 826.89 is: 1,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.05 : 1,889.10 = 826.89 : x
  2. Step 2: Convert to fraction form
    1,261.05/1,889.10 = 826.89/x
  3. Step 3: Cross multiply
    1,261.05x = 1,889.10 × 826.89
  4. Step 4: Simplify right side
    1,261.05x = 1,562,077.90
  5. Step 5: Solve for x
    x = 1,562,077.90/1,261.05
  6. Step 6: Final answer
    x = 1,238.71

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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.