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Finding the Fourth Proportional to 683.92, 1,025.93 and 411.76

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Solution

The fourth proportional to 683.92, 1,025.93 and 411.76 is: 617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.92 : 1,025.93 = 411.76 : x
  2. Step 2: Convert to fraction form
    683.92/1,025.93 = 411.76/x
  3. Step 3: Cross multiply
    683.92x = 1,025.93 × 411.76
  4. Step 4: Simplify right side
    683.92x = 422,439.25
  5. Step 5: Solve for x
    x = 422,439.25/683.92
  6. Step 6: Final answer
    x = 617.67

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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.