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Finding the Fourth Proportional to 996.47, 1,494.78 and 380.07

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Solution

The fourth proportional to 996.47, 1,494.78 and 380.07 is: 570.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.47 : 1,494.78 = 380.07 : x
  2. Step 2: Convert to fraction form
    996.47/1,494.78 = 380.07/x
  3. Step 3: Cross multiply
    996.47x = 1,494.78 × 380.07
  4. Step 4: Simplify right side
    996.47x = 568,121.03
  5. Step 5: Solve for x
    x = 568,121.03/996.47
  6. Step 6: Final answer
    x = 570.13

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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.