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Finding the Fourth Proportional to 941.93, 1,413.47 and 422.27

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Solution

The fourth proportional to 941.93, 1,413.47 and 422.27 is: 633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.93 : 1,413.47 = 422.27 : x
  2. Step 2: Convert to fraction form
    941.93/1,413.47 = 422.27/x
  3. Step 3: Cross multiply
    941.93x = 1,413.47 × 422.27
  4. Step 4: Simplify right side
    941.93x = 596,859.97
  5. Step 5: Solve for x
    x = 596,859.97/941.93
  6. Step 6: Final answer
    x = 633.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.