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Finding the Fourth Proportional to 963.20, 1,329.20 and 614.09

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Solution

The fourth proportional to 963.20, 1,329.20 and 614.09 is: 847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.20 : 1,329.20 = 614.09 : x
  2. Step 2: Convert to fraction form
    963.20/1,329.20 = 614.09/x
  3. Step 3: Cross multiply
    963.20x = 1,329.20 × 614.09
  4. Step 4: Simplify right side
    963.20x = 816,238.71
  5. Step 5: Solve for x
    x = 816,238.71/963.20
  6. Step 6: Final answer
    x = 847.43

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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.