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Finding the Fourth Proportional to 722.13, 1,081.46 and 413.05

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Solution

The fourth proportional to 722.13, 1,081.46 and 413.05 is: 618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.13 : 1,081.46 = 413.05 : x
  2. Step 2: Convert to fraction form
    722.13/1,081.46 = 413.05/x
  3. Step 3: Cross multiply
    722.13x = 1,081.46 × 413.05
  4. Step 4: Simplify right side
    722.13x = 446,689.58
  5. Step 5: Solve for x
    x = 446,689.58/722.13
  6. Step 6: Final answer
    x = 618.57

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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.