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Finding the Fourth Proportional to 667.52, 1,002 and 493.64

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Solution

The fourth proportional to 667.52, 1,002 and 493.64 is: 740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.52 : 1,002 = 493.64 : x
  2. Step 2: Convert to fraction form
    667.52/1,002 = 493.64/x
  3. Step 3: Cross multiply
    667.52x = 1,002 × 493.64
  4. Step 4: Simplify right side
    667.52x = 494,627.28
  5. Step 5: Solve for x
    x = 494,627.28/667.52
  6. Step 6: Final answer
    x = 740.99

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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.