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Finding the Fourth Proportional to 754.13, 1,131.10 and 363.80

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Solution

The fourth proportional to 754.13, 1,131.10 and 363.80 is: 545.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.13 : 1,131.10 = 363.80 : x
  2. Step 2: Convert to fraction form
    754.13/1,131.10 = 363.80/x
  3. Step 3: Cross multiply
    754.13x = 1,131.10 × 363.80
  4. Step 4: Simplify right side
    754.13x = 411,489.74
  5. Step 5: Solve for x
    x = 411,489.74/754.13
  6. Step 6: Final answer
    x = 545.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.