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Finding the Fourth Proportional to 667.43, 996.59 and 597.56

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Solution

The fourth proportional to 667.43, 996.59 and 597.56 is: 892.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.43 : 996.59 = 597.56 : x
  2. Step 2: Convert to fraction form
    667.43/996.59 = 597.56/x
  3. Step 3: Cross multiply
    667.43x = 996.59 × 597.56
  4. Step 4: Simplify right side
    667.43x = 595,522.32
  5. Step 5: Solve for x
    x = 595,522.32/667.43
  6. Step 6: Final answer
    x = 892.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.