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Finding the Fourth Proportional to 596.34, 892.44 and 543.84

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Solution

The fourth proportional to 596.34, 892.44 and 543.84 is: 813.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.34 : 892.44 = 543.84 : x
  2. Step 2: Convert to fraction form
    596.34/892.44 = 543.84/x
  3. Step 3: Cross multiply
    596.34x = 892.44 × 543.84
  4. Step 4: Simplify right side
    596.34x = 485,344.57
  5. Step 5: Solve for x
    x = 485,344.57/596.34
  6. Step 6: Final answer
    x = 813.87

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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.