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Finding the Fourth Proportional to 678.57, 1,018.12 and 401.14

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Solution

The fourth proportional to 678.57, 1,018.12 and 401.14 is: 601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.57 : 1,018.12 = 401.14 : x
  2. Step 2: Convert to fraction form
    678.57/1,018.12 = 401.14/x
  3. Step 3: Cross multiply
    678.57x = 1,018.12 × 401.14
  4. Step 4: Simplify right side
    678.57x = 408,408.66
  5. Step 5: Solve for x
    x = 408,408.66/678.57
  6. Step 6: Final answer
    x = 601.87

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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.