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Finding the Fourth Proportional to 942.05, 1,413.68 and 664.23

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Solution

The fourth proportional to 942.05, 1,413.68 and 664.23 is: 996.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.05 : 1,413.68 = 664.23 : x
  2. Step 2: Convert to fraction form
    942.05/1,413.68 = 664.23/x
  3. Step 3: Cross multiply
    942.05x = 1,413.68 × 664.23
  4. Step 4: Simplify right side
    942.05x = 939,014.77
  5. Step 5: Solve for x
    x = 939,014.77/942.05
  6. Step 6: Final answer
    x = 996.78

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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.