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Finding the Fourth Proportional to 997.57, 1,496.36 and 420.45

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Solution

The fourth proportional to 997.57, 1,496.36 and 420.45 is: 630.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.57 : 1,496.36 = 420.45 : x
  2. Step 2: Convert to fraction form
    997.57/1,496.36 = 420.45/x
  3. Step 3: Cross multiply
    997.57x = 1,496.36 × 420.45
  4. Step 4: Simplify right side
    997.57x = 629,144.56
  5. Step 5: Solve for x
    x = 629,144.56/997.57
  6. Step 6: Final answer
    x = 630.68

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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.