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Finding the Fourth Proportional to 718.54, 1,077.67 and 198.57

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Solution

The fourth proportional to 718.54, 1,077.67 and 198.57 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.54 : 1,077.67 = 198.57 : x
  2. Step 2: Convert to fraction form
    718.54/1,077.67 = 198.57/x
  3. Step 3: Cross multiply
    718.54x = 1,077.67 × 198.57
  4. Step 4: Simplify right side
    718.54x = 213,992.93
  5. Step 5: Solve for x
    x = 213,992.93/718.54
  6. Step 6: Final answer
    x = 297.82

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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.