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Finding the Fourth Proportional to 996.09, 1,492.97 and 410.73

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Solution

The fourth proportional to 996.09, 1,492.97 and 410.73 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.09 : 1,492.97 = 410.73 : x
  2. Step 2: Convert to fraction form
    996.09/1,492.97 = 410.73/x
  3. Step 3: Cross multiply
    996.09x = 1,492.97 × 410.73
  4. Step 4: Simplify right side
    996.09x = 613,205.51
  5. Step 5: Solve for x
    x = 613,205.51/996.09
  6. Step 6: Final answer
    x = 615.61

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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.