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Finding the Fourth Proportional to 1,608.84, 2,413.62 and 513

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Solution

The fourth proportional to 1,608.84, 2,413.62 and 513 is: 769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.84 : 2,413.62 = 513 : x
  2. Step 2: Convert to fraction form
    1,608.84/2,413.62 = 513/x
  3. Step 3: Cross multiply
    1,608.84x = 2,413.62 × 513
  4. Step 4: Simplify right side
    1,608.84x = 1,238,187.06
  5. Step 5: Solve for x
    x = 1,238,187.06/1,608.84
  6. Step 6: Final answer
    x = 769.61

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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.