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Finding the Fourth Proportional to 1,236.35, 1,853.49 and 963.66

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Solution

The fourth proportional to 1,236.35, 1,853.49 and 963.66 is: 1,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.35 : 1,853.49 = 963.66 : x
  2. Step 2: Convert to fraction form
    1,236.35/1,853.49 = 963.66/x
  3. Step 3: Cross multiply
    1,236.35x = 1,853.49 × 963.66
  4. Step 4: Simplify right side
    1,236.35x = 1,786,134.17
  5. Step 5: Solve for x
    x = 1,786,134.17/1,236.35
  6. Step 6: Final answer
    x = 1,444.68

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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.