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Finding the Fourth Proportional to 1,609.94, 2,414.91 and 455.69

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Solution

The fourth proportional to 1,609.94, 2,414.91 and 455.69 is: 683.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.94 : 2,414.91 = 455.69 : x
  2. Step 2: Convert to fraction form
    1,609.94/2,414.91 = 455.69/x
  3. Step 3: Cross multiply
    1,609.94x = 2,414.91 × 455.69
  4. Step 4: Simplify right side
    1,609.94x = 1,100,450.34
  5. Step 5: Solve for x
    x = 1,100,450.34/1,609.94
  6. Step 6: Final answer
    x = 683.54

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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.