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Finding the Fourth Proportional to 980.51, 1,469.75 and 363.83

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Solution

The fourth proportional to 980.51, 1,469.75 and 363.83 is: 545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.51 : 1,469.75 = 363.83 : x
  2. Step 2: Convert to fraction form
    980.51/1,469.75 = 363.83/x
  3. Step 3: Cross multiply
    980.51x = 1,469.75 × 363.83
  4. Step 4: Simplify right side
    980.51x = 534,729.97
  5. Step 5: Solve for x
    x = 534,729.97/980.51
  6. Step 6: Final answer
    x = 545.36

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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.