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Finding the Fourth Proportional to 1,387.41, 2,081.25 and 413.34

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Solution

The fourth proportional to 1,387.41, 2,081.25 and 413.34 is: 620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.41 : 2,081.25 = 413.34 : x
  2. Step 2: Convert to fraction form
    1,387.41/2,081.25 = 413.34/x
  3. Step 3: Cross multiply
    1,387.41x = 2,081.25 × 413.34
  4. Step 4: Simplify right side
    1,387.41x = 860,263.88
  5. Step 5: Solve for x
    x = 860,263.88/1,387.41
  6. Step 6: Final answer
    x = 620.05

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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.