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Finding the Fourth Proportional to 667.60, 999.60 and 523.60

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Solution

The fourth proportional to 667.60, 999.60 and 523.60 is: 783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.60 : 999.60 = 523.60 : x
  2. Step 2: Convert to fraction form
    667.60/999.60 = 523.60/x
  3. Step 3: Cross multiply
    667.60x = 999.60 × 523.60
  4. Step 4: Simplify right side
    667.60x = 523,390.56
  5. Step 5: Solve for x
    x = 523,390.56/667.60
  6. Step 6: Final answer
    x = 783.99

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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.