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Finding the Fourth Proportional to 1,198.86, 1,797.62 and 582.54

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Solution

The fourth proportional to 1,198.86, 1,797.62 and 582.54 is: 873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.86 : 1,797.62 = 582.54 : x
  2. Step 2: Convert to fraction form
    1,198.86/1,797.62 = 582.54/x
  3. Step 3: Cross multiply
    1,198.86x = 1,797.62 × 582.54
  4. Step 4: Simplify right side
    1,198.86x = 1,047,185.55
  5. Step 5: Solve for x
    x = 1,047,185.55/1,198.86
  6. Step 6: Final answer
    x = 873.48

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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.