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Finding the Fourth Proportional to 982.98, 1,474.25 and 366.57

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Solution

The fourth proportional to 982.98, 1,474.25 and 366.57 is: 549.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.98 : 1,474.25 = 366.57 : x
  2. Step 2: Convert to fraction form
    982.98/1,474.25 = 366.57/x
  3. Step 3: Cross multiply
    982.98x = 1,474.25 × 366.57
  4. Step 4: Simplify right side
    982.98x = 540,413.99
  5. Step 5: Solve for x
    x = 540,413.99/982.98
  6. Step 6: Final answer
    x = 549.77

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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.