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Finding the Fourth Proportional to 620.38, 923.82 and 613.56

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Solution

The fourth proportional to 620.38, 923.82 and 613.56 is: 913.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.38 : 923.82 = 613.56 : x
  2. Step 2: Convert to fraction form
    620.38/923.82 = 613.56/x
  3. Step 3: Cross multiply
    620.38x = 923.82 × 613.56
  4. Step 4: Simplify right side
    620.38x = 566,819.00
  5. Step 5: Solve for x
    x = 566,819.00/620.38
  6. Step 6: Final answer
    x = 913.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.