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Finding the Fourth Proportional to 997.63, 1,496.44 and 412.96

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Solution

The fourth proportional to 997.63, 1,496.44 and 412.96 is: 619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.63 : 1,496.44 = 412.96 : x
  2. Step 2: Convert to fraction form
    997.63/1,496.44 = 412.96/x
  3. Step 3: Cross multiply
    997.63x = 1,496.44 × 412.96
  4. Step 4: Simplify right side
    997.63x = 617,969.86
  5. Step 5: Solve for x
    x = 617,969.86/997.63
  6. Step 6: Final answer
    x = 619.44

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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.