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Finding the Fourth Proportional to 1,608.93, 2,413.58 and 513.05

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Solution

The fourth proportional to 1,608.93, 2,413.58 and 513.05 is: 769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.93 : 2,413.58 = 513.05 : x
  2. Step 2: Convert to fraction form
    1,608.93/2,413.58 = 513.05/x
  3. Step 3: Cross multiply
    1,608.93x = 2,413.58 × 513.05
  4. Step 4: Simplify right side
    1,608.93x = 1,238,272.59
  5. Step 5: Solve for x
    x = 1,238,272.59/1,608.93
  6. Step 6: Final answer
    x = 769.62

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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.