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Finding the Fourth Proportional to 1,609.69, 2,414.74 and 455.44

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Solution

The fourth proportional to 1,609.69, 2,414.74 and 455.44 is: 683.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.69 : 2,414.74 = 455.44 : x
  2. Step 2: Convert to fraction form
    1,609.69/2,414.74 = 455.44/x
  3. Step 3: Cross multiply
    1,609.69x = 2,414.74 × 455.44
  4. Step 4: Simplify right side
    1,609.69x = 1,099,762.01
  5. Step 5: Solve for x
    x = 1,099,762.01/1,609.69
  6. Step 6: Final answer
    x = 683.21

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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.