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Finding the Fourth Proportional to 679.82, 1,020.06 and 462.96

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Solution

The fourth proportional to 679.82, 1,020.06 and 462.96 is: 694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.82 : 1,020.06 = 462.96 : x
  2. Step 2: Convert to fraction form
    679.82/1,020.06 = 462.96/x
  3. Step 3: Cross multiply
    679.82x = 1,020.06 × 462.96
  4. Step 4: Simplify right side
    679.82x = 472,246.98
  5. Step 5: Solve for x
    x = 472,246.98/679.82
  6. Step 6: Final answer
    x = 694.67

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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.