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Finding the Fourth Proportional to 798.74, 1,198.87 and 491.20

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Solution

The fourth proportional to 798.74, 1,198.87 and 491.20 is: 737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.74 : 1,198.87 = 491.20 : x
  2. Step 2: Convert to fraction form
    798.74/1,198.87 = 491.20/x
  3. Step 3: Cross multiply
    798.74x = 1,198.87 × 491.20
  4. Step 4: Simplify right side
    798.74x = 588,880.72
  5. Step 5: Solve for x
    x = 588,880.72/798.74
  6. Step 6: Final answer
    x = 737.26

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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.