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Finding the Fourth Proportional to 1,608.84, 2,413.22 and 513.28

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Solution

The fourth proportional to 1,608.84, 2,413.22 and 513.28 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.84 : 2,413.22 = 513.28 : x
  2. Step 2: Convert to fraction form
    1,608.84/2,413.22 = 513.28/x
  3. Step 3: Cross multiply
    1,608.84x = 2,413.22 × 513.28
  4. Step 4: Simplify right side
    1,608.84x = 1,238,657.56
  5. Step 5: Solve for x
    x = 1,238,657.56/1,608.84
  6. Step 6: Final answer
    x = 769.91

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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.