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Finding the Fourth Proportional to 1,608.79, 2,413.05 and 513.07

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Solution

The fourth proportional to 1,608.79, 2,413.05 and 513.07 is: 769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.79 : 2,413.05 = 513.07 : x
  2. Step 2: Convert to fraction form
    1,608.79/2,413.05 = 513.07/x
  3. Step 3: Cross multiply
    1,608.79x = 2,413.05 × 513.07
  4. Step 4: Simplify right side
    1,608.79x = 1,238,063.56
  5. Step 5: Solve for x
    x = 1,238,063.56/1,608.79
  6. Step 6: Final answer
    x = 769.56

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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.