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Finding the Fourth Proportional to 941.78, 1,413.14 and 422.13

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Solution

The fourth proportional to 941.78, 1,413.14 and 422.13 is: 633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.78 : 1,413.14 = 422.13 : x
  2. Step 2: Convert to fraction form
    941.78/1,413.14 = 422.13/x
  3. Step 3: Cross multiply
    941.78x = 1,413.14 × 422.13
  4. Step 4: Simplify right side
    941.78x = 596,526.68
  5. Step 5: Solve for x
    x = 596,526.68/941.78
  6. Step 6: Final answer
    x = 633.41

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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.