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Finding the Fourth Proportional to 982.14, 1,355.34 and 540.02

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Solution

The fourth proportional to 982.14, 1,355.34 and 540.02 is: 745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.14 : 1,355.34 = 540.02 : x
  2. Step 2: Convert to fraction form
    982.14/1,355.34 = 540.02/x
  3. Step 3: Cross multiply
    982.14x = 1,355.34 × 540.02
  4. Step 4: Simplify right side
    982.14x = 731,903.93
  5. Step 5: Solve for x
    x = 731,903.93/982.14
  6. Step 6: Final answer
    x = 745.21

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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.