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Finding the Fourth Proportional to 1,608.87, 2,413.50 and 684.66

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Solution

The fourth proportional to 1,608.87, 2,413.50 and 684.66 is: 1,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.87 : 2,413.50 = 684.66 : x
  2. Step 2: Convert to fraction form
    1,608.87/2,413.50 = 684.66/x
  3. Step 3: Cross multiply
    1,608.87x = 2,413.50 × 684.66
  4. Step 4: Simplify right side
    1,608.87x = 1,652,426.91
  5. Step 5: Solve for x
    x = 1,652,426.91/1,608.87
  6. Step 6: Final answer
    x = 1,027.07

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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.