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Finding the Fourth Proportional to 1,712.13, 2,568.18 and 413.60

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Solution

The fourth proportional to 1,712.13, 2,568.18 and 413.60 is: 620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,712.13 : 2,568.18 = 413.60 : x
  2. Step 2: Convert to fraction form
    1,712.13/2,568.18 = 413.60/x
  3. Step 3: Cross multiply
    1,712.13x = 2,568.18 × 413.60
  4. Step 4: Simplify right side
    1,712.13x = 1,062,186.41
  5. Step 5: Solve for x
    x = 1,062,186.41/1,712.13
  6. Step 6: Final answer
    x = 620.39

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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.