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Finding the Fourth Proportional to 754.03, 1,131.41 and 363.84

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Solution

The fourth proportional to 754.03, 1,131.41 and 363.84 is: 545.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.03 : 1,131.41 = 363.84 : x
  2. Step 2: Convert to fraction form
    754.03/1,131.41 = 363.84/x
  3. Step 3: Cross multiply
    754.03x = 1,131.41 × 363.84
  4. Step 4: Simplify right side
    754.03x = 411,652.21
  5. Step 5: Solve for x
    x = 411,652.21/754.03
  6. Step 6: Final answer
    x = 545.94

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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.