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Finding the Fourth Proportional to 1,107.14, 1,660.93 and 413.79

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Solution

The fourth proportional to 1,107.14, 1,660.93 and 413.79 is: 620.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.14 : 1,660.93 = 413.79 : x
  2. Step 2: Convert to fraction form
    1,107.14/1,660.93 = 413.79/x
  3. Step 3: Cross multiply
    1,107.14x = 1,660.93 × 413.79
  4. Step 4: Simplify right side
    1,107.14x = 687,268.96
  5. Step 5: Solve for x
    x = 687,268.96/1,107.14
  6. Step 6: Final answer
    x = 620.76

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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.