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Finding the Fourth Proportional to 1,289.83, 1,934.75 and 827.83

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Solution

The fourth proportional to 1,289.83, 1,934.75 and 827.83 is: 1,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.83 : 1,934.75 = 827.83 : x
  2. Step 2: Convert to fraction form
    1,289.83/1,934.75 = 827.83/x
  3. Step 3: Cross multiply
    1,289.83x = 1,934.75 × 827.83
  4. Step 4: Simplify right side
    1,289.83x = 1,601,644.09
  5. Step 5: Solve for x
    x = 1,601,644.09/1,289.83
  6. Step 6: Final answer
    x = 1,241.75

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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.