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Finding the Fourth Proportional to 982.49, 1,355.84 and 540.42

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Solution

The fourth proportional to 982.49, 1,355.84 and 540.42 is: 745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.49 : 1,355.84 = 540.42 : x
  2. Step 2: Convert to fraction form
    982.49/1,355.84 = 540.42/x
  3. Step 3: Cross multiply
    982.49x = 1,355.84 × 540.42
  4. Step 4: Simplify right side
    982.49x = 732,713.57
  5. Step 5: Solve for x
    x = 732,713.57/982.49
  6. Step 6: Final answer
    x = 745.78

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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.