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Finding the Fourth Proportional to 654.14, 979.83 and 447.74

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Solution

The fourth proportional to 654.14, 979.83 and 447.74 is: 670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 979.83 = 447.74 : x
  2. Step 2: Convert to fraction form
    654.14/979.83 = 447.74/x
  3. Step 3: Cross multiply
    654.14x = 979.83 × 447.74
  4. Step 4: Simplify right side
    654.14x = 438,709.08
  5. Step 5: Solve for x
    x = 438,709.08/654.14
  6. Step 6: Final answer
    x = 670.67

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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.