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Finding the Fourth Proportional to 997.53, 1,495.89 and 420

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Solution

The fourth proportional to 997.53, 1,495.89 and 420 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.53 : 1,495.89 = 420 : x
  2. Step 2: Convert to fraction form
    997.53/1,495.89 = 420/x
  3. Step 3: Cross multiply
    997.53x = 1,495.89 × 420
  4. Step 4: Simplify right side
    997.53x = 628,273.80
  5. Step 5: Solve for x
    x = 628,273.80/997.53
  6. Step 6: Final answer
    x = 629.83

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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.