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Finding the Fourth Proportional to 982.06, 1,355.22 and 539.98

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Solution

The fourth proportional to 982.06, 1,355.22 and 539.98 is: 745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.06 : 1,355.22 = 539.98 : x
  2. Step 2: Convert to fraction form
    982.06/1,355.22 = 539.98/x
  3. Step 3: Cross multiply
    982.06x = 1,355.22 × 539.98
  4. Step 4: Simplify right side
    982.06x = 731,791.70
  5. Step 5: Solve for x
    x = 731,791.70/982.06
  6. Step 6: Final answer
    x = 745.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.