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Finding the Fourth Proportional to 798.44, 1,196.96 and 387.86

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Solution

The fourth proportional to 798.44, 1,196.96 and 387.86 is: 581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.44 : 1,196.96 = 387.86 : x
  2. Step 2: Convert to fraction form
    798.44/1,196.96 = 387.86/x
  3. Step 3: Cross multiply
    798.44x = 1,196.96 × 387.86
  4. Step 4: Simplify right side
    798.44x = 464,244.98
  5. Step 5: Solve for x
    x = 464,244.98/798.44
  6. Step 6: Final answer
    x = 581.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.