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Finding the Fourth Proportional to 611.38, 914.37 and 543.34

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Solution

The fourth proportional to 611.38, 914.37 and 543.34 is: 812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.38 : 914.37 = 543.34 : x
  2. Step 2: Convert to fraction form
    611.38/914.37 = 543.34/x
  3. Step 3: Cross multiply
    611.38x = 914.37 × 543.34
  4. Step 4: Simplify right side
    611.38x = 496,813.80
  5. Step 5: Solve for x
    x = 496,813.80/611.38
  6. Step 6: Final answer
    x = 812.61

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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.