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Finding the Fourth Proportional to 1,608, 2,412.09 and 453.84

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Solution

The fourth proportional to 1,608, 2,412.09 and 453.84 is: 680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608 : 2,412.09 = 453.84 : x
  2. Step 2: Convert to fraction form
    1,608/2,412.09 = 453.84/x
  3. Step 3: Cross multiply
    1,608x = 2,412.09 × 453.84
  4. Step 4: Simplify right side
    1,608x = 1,094,702.93
  5. Step 5: Solve for x
    x = 1,094,702.93/1,608
  6. Step 6: Final answer
    x = 680.79

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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.