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Finding the Fourth Proportional to 1,472.78, 2,032.26 and 843.44

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Solution

The fourth proportional to 1,472.78, 2,032.26 and 843.44 is: 1,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.78 : 2,032.26 = 843.44 : x
  2. Step 2: Convert to fraction form
    1,472.78/2,032.26 = 843.44/x
  3. Step 3: Cross multiply
    1,472.78x = 2,032.26 × 843.44
  4. Step 4: Simplify right side
    1,472.78x = 1,714,089.37
  5. Step 5: Solve for x
    x = 1,714,089.37/1,472.78
  6. Step 6: Final answer
    x = 1,163.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.