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Finding the Fourth Proportional to 1,608.04, 2,412.12 and 453.82

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Solution

The fourth proportional to 1,608.04, 2,412.12 and 453.82 is: 680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.04 : 2,412.12 = 453.82 : x
  2. Step 2: Convert to fraction form
    1,608.04/2,412.12 = 453.82/x
  3. Step 3: Cross multiply
    1,608.04x = 2,412.12 × 453.82
  4. Step 4: Simplify right side
    1,608.04x = 1,094,668.30
  5. Step 5: Solve for x
    x = 1,094,668.30/1,608.04
  6. Step 6: Final answer
    x = 680.75

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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.