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Finding the Fourth Proportional to 1,236.77, 1,853.25 and 773.31

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Solution

The fourth proportional to 1,236.77, 1,853.25 and 773.31 is: 1,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.77 : 1,853.25 = 773.31 : x
  2. Step 2: Convert to fraction form
    1,236.77/1,853.25 = 773.31/x
  3. Step 3: Cross multiply
    1,236.77x = 1,853.25 × 773.31
  4. Step 4: Simplify right side
    1,236.77x = 1,433,136.76
  5. Step 5: Solve for x
    x = 1,433,136.76/1,236.77
  6. Step 6: Final answer
    x = 1,158.78

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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.