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Finding the Fourth Proportional to 961.70, 1,443.02 and 413.72

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Solution

The fourth proportional to 961.70, 1,443.02 and 413.72 is: 620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.70 : 1,443.02 = 413.72 : x
  2. Step 2: Convert to fraction form
    961.70/1,443.02 = 413.72/x
  3. Step 3: Cross multiply
    961.70x = 1,443.02 × 413.72
  4. Step 4: Simplify right side
    961.70x = 597,006.23
  5. Step 5: Solve for x
    x = 597,006.23/961.70
  6. Step 6: Final answer
    x = 620.78

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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.