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Finding the Fourth Proportional to 1,107.27, 1,660.96 and 413.87

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Solution

The fourth proportional to 1,107.27, 1,660.96 and 413.87 is: 620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.27 : 1,660.96 = 413.87 : x
  2. Step 2: Convert to fraction form
    1,107.27/1,660.96 = 413.87/x
  3. Step 3: Cross multiply
    1,107.27x = 1,660.96 × 413.87
  4. Step 4: Simplify right side
    1,107.27x = 687,420.74
  5. Step 5: Solve for x
    x = 687,420.74/1,107.27
  6. Step 6: Final answer
    x = 620.82

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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.