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Finding the Fourth Proportional to 667.28, 998.76 and 503.84

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Solution

The fourth proportional to 667.28, 998.76 and 503.84 is: 754.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.28 : 998.76 = 503.84 : x
  2. Step 2: Convert to fraction form
    667.28/998.76 = 503.84/x
  3. Step 3: Cross multiply
    667.28x = 998.76 × 503.84
  4. Step 4: Simplify right side
    667.28x = 503,215.24
  5. Step 5: Solve for x
    x = 503,215.24/667.28
  6. Step 6: Final answer
    x = 754.13

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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.