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Finding the Fourth Proportional to 1,494.62, 2,063.52 and 963.70

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Solution

The fourth proportional to 1,494.62, 2,063.52 and 963.70 is: 1,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.62 : 2,063.52 = 963.70 : x
  2. Step 2: Convert to fraction form
    1,494.62/2,063.52 = 963.70/x
  3. Step 3: Cross multiply
    1,494.62x = 2,063.52 × 963.70
  4. Step 4: Simplify right side
    1,494.62x = 1,988,614.22
  5. Step 5: Solve for x
    x = 1,988,614.22/1,494.62
  6. Step 6: Final answer
    x = 1,330.51

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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.