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Finding the Fourth Proportional to 1,609.68, 2,414.64 and 455.52

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Solution

The fourth proportional to 1,609.68, 2,414.64 and 455.52 is: 683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.68 : 2,414.64 = 455.52 : x
  2. Step 2: Convert to fraction form
    1,609.68/2,414.64 = 455.52/x
  3. Step 3: Cross multiply
    1,609.68x = 2,414.64 × 455.52
  4. Step 4: Simplify right side
    1,609.68x = 1,099,916.81
  5. Step 5: Solve for x
    x = 1,099,916.81/1,609.68
  6. Step 6: Final answer
    x = 683.31

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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.