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Finding the Fourth Proportional to 678.90, 1,018.52 and 191.95

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Solution

The fourth proportional to 678.90, 1,018.52 and 191.95 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.90 : 1,018.52 = 191.95 : x
  2. Step 2: Convert to fraction form
    678.90/1,018.52 = 191.95/x
  3. Step 3: Cross multiply
    678.90x = 1,018.52 × 191.95
  4. Step 4: Simplify right side
    678.90x = 195,504.91
  5. Step 5: Solve for x
    x = 195,504.91/678.90
  6. Step 6: Final answer
    x = 287.97

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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.