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Finding the Fourth Proportional to 1,107.33, 1,659.93 and 413.81

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Solution

The fourth proportional to 1,107.33, 1,659.93 and 413.81 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.33 : 1,659.93 = 413.81 : x
  2. Step 2: Convert to fraction form
    1,107.33/1,659.93 = 413.81/x
  3. Step 3: Cross multiply
    1,107.33x = 1,659.93 × 413.81
  4. Step 4: Simplify right side
    1,107.33x = 686,887.33
  5. Step 5: Solve for x
    x = 686,887.33/1,107.33
  6. Step 6: Final answer
    x = 620.31

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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.