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Finding the Fourth Proportional to 997.68, 1,496.53 and 450.02

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Solution

The fourth proportional to 997.68, 1,496.53 and 450.02 is: 675.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.68 : 1,496.53 = 450.02 : x
  2. Step 2: Convert to fraction form
    997.68/1,496.53 = 450.02/x
  3. Step 3: Cross multiply
    997.68x = 1,496.53 × 450.02
  4. Step 4: Simplify right side
    997.68x = 673,470.20
  5. Step 5: Solve for x
    x = 673,470.20/997.68
  6. Step 6: Final answer
    x = 675.03

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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.