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Finding the Fourth Proportional to 718.88, 1,078.31 and 198.83

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Solution

The fourth proportional to 718.88, 1,078.31 and 198.83 is: 298.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.88 : 1,078.31 = 198.83 : x
  2. Step 2: Convert to fraction form
    718.88/1,078.31 = 198.83/x
  3. Step 3: Cross multiply
    718.88x = 1,078.31 × 198.83
  4. Step 4: Simplify right side
    718.88x = 214,400.54
  5. Step 5: Solve for x
    x = 214,400.54/718.88
  6. Step 6: Final answer
    x = 298.24

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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.