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Finding the Fourth Proportional to 609.43, 913.66 and 543.67

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Solution

The fourth proportional to 609.43, 913.66 and 543.67 is: 815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.43 : 913.66 = 543.67 : x
  2. Step 2: Convert to fraction form
    609.43/913.66 = 543.67/x
  3. Step 3: Cross multiply
    609.43x = 913.66 × 543.67
  4. Step 4: Simplify right side
    609.43x = 496,729.53
  5. Step 5: Solve for x
    x = 496,729.53/609.43
  6. Step 6: Final answer
    x = 815.07

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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.