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Finding the Fourth Proportional to 996.46, 1,494.20 and 379.70

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Solution

The fourth proportional to 996.46, 1,494.20 and 379.70 is: 569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.46 : 1,494.20 = 379.70 : x
  2. Step 2: Convert to fraction form
    996.46/1,494.20 = 379.70/x
  3. Step 3: Cross multiply
    996.46x = 1,494.20 × 379.70
  4. Step 4: Simplify right side
    996.46x = 567,347.74
  5. Step 5: Solve for x
    x = 567,347.74/996.46
  6. Step 6: Final answer
    x = 569.36

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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.