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Finding the Fourth Proportional to 754.70, 1,131.26 and 364.11

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Solution

The fourth proportional to 754.70, 1,131.26 and 364.11 is: 545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.70 : 1,131.26 = 364.11 : x
  2. Step 2: Convert to fraction form
    754.70/1,131.26 = 364.11/x
  3. Step 3: Cross multiply
    754.70x = 1,131.26 × 364.11
  4. Step 4: Simplify right side
    754.70x = 411,903.08
  5. Step 5: Solve for x
    x = 411,903.08/754.70
  6. Step 6: Final answer
    x = 545.78

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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.