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Finding the Fourth Proportional to 1,608.30, 2,412.72 and 512.58

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Solution

The fourth proportional to 1,608.30, 2,412.72 and 512.58 is: 768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.30 : 2,412.72 = 512.58 : x
  2. Step 2: Convert to fraction form
    1,608.30/2,412.72 = 512.58/x
  3. Step 3: Cross multiply
    1,608.30x = 2,412.72 × 512.58
  4. Step 4: Simplify right side
    1,608.30x = 1,236,712.02
  5. Step 5: Solve for x
    x = 1,236,712.02/1,608.30
  6. Step 6: Final answer
    x = 768.96

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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.