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Finding the Fourth Proportional to 1,568.09, 2,351.95 and 413.93

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Solution

The fourth proportional to 1,568.09, 2,351.95 and 413.93 is: 620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.09 : 2,351.95 = 413.93 : x
  2. Step 2: Convert to fraction form
    1,568.09/2,351.95 = 413.93/x
  3. Step 3: Cross multiply
    1,568.09x = 2,351.95 × 413.93
  4. Step 4: Simplify right side
    1,568.09x = 973,542.66
  5. Step 5: Solve for x
    x = 973,542.66/1,568.09
  6. Step 6: Final answer
    x = 620.85

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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.