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Finding the Fourth Proportional to 718.31, 1,077.26 and 198.18

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Solution

The fourth proportional to 718.31, 1,077.26 and 198.18 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.31 : 1,077.26 = 198.18 : x
  2. Step 2: Convert to fraction form
    718.31/1,077.26 = 198.18/x
  3. Step 3: Cross multiply
    718.31x = 1,077.26 × 198.18
  4. Step 4: Simplify right side
    718.31x = 213,491.39
  5. Step 5: Solve for x
    x = 213,491.39/718.31
  6. Step 6: Final answer
    x = 297.21

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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.