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Finding the Fourth Proportional to 713.69, 984.90 and 394.67

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Solution

The fourth proportional to 713.69, 984.90 and 394.67 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.69 : 984.90 = 394.67 : x
  2. Step 2: Convert to fraction form
    713.69/984.90 = 394.67/x
  3. Step 3: Cross multiply
    713.69x = 984.90 × 394.67
  4. Step 4: Simplify right side
    713.69x = 388,705.56
  5. Step 5: Solve for x
    x = 388,705.56/713.69
  6. Step 6: Final answer
    x = 544.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.