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Finding the Fourth Proportional to 941.72, 1,413.63 and 552.18

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Solution

The fourth proportional to 941.72, 1,413.63 and 552.18 is: 828.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.72 : 1,413.63 = 552.18 : x
  2. Step 2: Convert to fraction form
    941.72/1,413.63 = 552.18/x
  3. Step 3: Cross multiply
    941.72x = 1,413.63 × 552.18
  4. Step 4: Simplify right side
    941.72x = 780,578.21
  5. Step 5: Solve for x
    x = 780,578.21/941.72
  6. Step 6: Final answer
    x = 828.89

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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.