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Finding the Fourth Proportional to 1,608.42, 2,412.85 and 512.41

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Solution

The fourth proportional to 1,608.42, 2,412.85 and 512.41 is: 768.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.42 : 2,412.85 = 512.41 : x
  2. Step 2: Convert to fraction form
    1,608.42/2,412.85 = 512.41/x
  3. Step 3: Cross multiply
    1,608.42x = 2,412.85 × 512.41
  4. Step 4: Simplify right side
    1,608.42x = 1,236,368.47
  5. Step 5: Solve for x
    x = 1,236,368.47/1,608.42
  6. Step 6: Final answer
    x = 768.69

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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.