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Finding the Fourth Proportional to 996.54, 1,494.59 and 380.03

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Solution

The fourth proportional to 996.54, 1,494.59 and 380.03 is: 569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.54 : 1,494.59 = 380.03 : x
  2. Step 2: Convert to fraction form
    996.54/1,494.59 = 380.03/x
  3. Step 3: Cross multiply
    996.54x = 1,494.59 × 380.03
  4. Step 4: Simplify right side
    996.54x = 567,979.66
  5. Step 5: Solve for x
    x = 567,979.66/996.54
  6. Step 6: Final answer
    x = 569.95

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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.