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Finding the Fourth Proportional to 996.40, 1,493.76 and 379.77

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Solution

The fourth proportional to 996.40, 1,493.76 and 379.77 is: 569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.40 : 1,493.76 = 379.77 : x
  2. Step 2: Convert to fraction form
    996.40/1,493.76 = 379.77/x
  3. Step 3: Cross multiply
    996.40x = 1,493.76 × 379.77
  4. Step 4: Simplify right side
    996.40x = 567,285.24
  5. Step 5: Solve for x
    x = 567,285.24/996.40
  6. Step 6: Final answer
    x = 569.33

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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.