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Finding the Fourth Proportional to 982.00, 1,355.10 and 539.90

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Solution

The fourth proportional to 982.00, 1,355.10 and 539.90 is: 745.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.00 : 1,355.10 = 539.90 : x
  2. Step 2: Convert to fraction form
    982.00/1,355.10 = 539.90/x
  3. Step 3: Cross multiply
    982.00x = 1,355.10 × 539.90
  4. Step 4: Simplify right side
    982.00x = 731,620.10
  5. Step 5: Solve for x
    x = 731,620.10/982.00
  6. Step 6: Final answer
    x = 745.03

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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.