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Finding the Fourth Proportional to 942.49, 1,413.74 and 531.97

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Solution

The fourth proportional to 942.49, 1,413.74 and 531.97 is: 797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.49 : 1,413.74 = 531.97 : x
  2. Step 2: Convert to fraction form
    942.49/1,413.74 = 531.97/x
  3. Step 3: Cross multiply
    942.49x = 1,413.74 × 531.97
  4. Step 4: Simplify right side
    942.49x = 752,070.02
  5. Step 5: Solve for x
    x = 752,070.02/942.49
  6. Step 6: Final answer
    x = 797.96

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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.