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Finding the Fourth Proportional to 678.75, 1,018.27 and 262.27

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Solution

The fourth proportional to 678.75, 1,018.27 and 262.27 is: 393.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.75 : 1,018.27 = 262.27 : x
  2. Step 2: Convert to fraction form
    678.75/1,018.27 = 262.27/x
  3. Step 3: Cross multiply
    678.75x = 1,018.27 × 262.27
  4. Step 4: Simplify right side
    678.75x = 267,062.29
  5. Step 5: Solve for x
    x = 267,062.29/678.75
  6. Step 6: Final answer
    x = 393.46

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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.