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Finding the Fourth Proportional to 1,346.91, 2,020.30 and 422.46

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Solution

The fourth proportional to 1,346.91, 2,020.30 and 422.46 is: 633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.91 : 2,020.30 = 422.46 : x
  2. Step 2: Convert to fraction form
    1,346.91/2,020.30 = 422.46/x
  3. Step 3: Cross multiply
    1,346.91x = 2,020.30 × 422.46
  4. Step 4: Simplify right side
    1,346.91x = 853,495.94
  5. Step 5: Solve for x
    x = 853,495.94/1,346.91
  6. Step 6: Final answer
    x = 633.67

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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.