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Finding the Fourth Proportional to 1,169.88, 1,754.46 and 963.94

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Solution

The fourth proportional to 1,169.88, 1,754.46 and 963.94 is: 1,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.88 : 1,754.46 = 963.94 : x
  2. Step 2: Convert to fraction form
    1,169.88/1,754.46 = 963.94/x
  3. Step 3: Cross multiply
    1,169.88x = 1,754.46 × 963.94
  4. Step 4: Simplify right side
    1,169.88x = 1,691,194.17
  5. Step 5: Solve for x
    x = 1,691,194.17/1,169.88
  6. Step 6: Final answer
    x = 1,445.61

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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.