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Finding the Fourth Proportional to 963.20, 1,443.81 and 414.92

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Solution

The fourth proportional to 963.20, 1,443.81 and 414.92 is: 621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.20 : 1,443.81 = 414.92 : x
  2. Step 2: Convert to fraction form
    963.20/1,443.81 = 414.92/x
  3. Step 3: Cross multiply
    963.20x = 1,443.81 × 414.92
  4. Step 4: Simplify right side
    963.20x = 599,065.65
  5. Step 5: Solve for x
    x = 599,065.65/963.20
  6. Step 6: Final answer
    x = 621.95

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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.