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Finding the Fourth Proportional to 1,608.84, 2,413.80 and 634.92

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Solution

The fourth proportional to 1,608.84, 2,413.80 and 634.92 is: 952.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.84 : 2,413.80 = 634.92 : x
  2. Step 2: Convert to fraction form
    1,608.84/2,413.80 = 634.92/x
  3. Step 3: Cross multiply
    1,608.84x = 2,413.80 × 634.92
  4. Step 4: Simplify right side
    1,608.84x = 1,532,569.90
  5. Step 5: Solve for x
    x = 1,532,569.90/1,608.84
  6. Step 6: Final answer
    x = 952.59

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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.