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Finding the Fourth Proportional to 997.96, 1,496.89 and 412.79

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Solution

The fourth proportional to 997.96, 1,496.89 and 412.79 is: 619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.96 : 1,496.89 = 412.79 : x
  2. Step 2: Convert to fraction form
    997.96/1,496.89 = 412.79/x
  3. Step 3: Cross multiply
    997.96x = 1,496.89 × 412.79
  4. Step 4: Simplify right side
    997.96x = 617,892.71
  5. Step 5: Solve for x
    x = 617,892.71/997.96
  6. Step 6: Final answer
    x = 619.16

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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.