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Finding the Fourth Proportional to 1,608.56, 2,413.59 and 569.34

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Solution

The fourth proportional to 1,608.56, 2,413.59 and 569.34 is: 854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.56 : 2,413.59 = 569.34 : x
  2. Step 2: Convert to fraction form
    1,608.56/2,413.59 = 569.34/x
  3. Step 3: Cross multiply
    1,608.56x = 2,413.59 × 569.34
  4. Step 4: Simplify right side
    1,608.56x = 1,374,153.33
  5. Step 5: Solve for x
    x = 1,374,153.33/1,608.56
  6. Step 6: Final answer
    x = 854.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.