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Finding the Fourth Proportional to 1,289.22, 1,933.64 and 411.82

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Solution

The fourth proportional to 1,289.22, 1,933.64 and 411.82 is: 617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.22 : 1,933.64 = 411.82 : x
  2. Step 2: Convert to fraction form
    1,289.22/1,933.64 = 411.82/x
  3. Step 3: Cross multiply
    1,289.22x = 1,933.64 × 411.82
  4. Step 4: Simplify right side
    1,289.22x = 796,306.28
  5. Step 5: Solve for x
    x = 796,306.28/1,289.22
  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.