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Finding the Fourth Proportional to 1,215.42, 1,819.08 and 839.22

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Solution

The fourth proportional to 1,215.42, 1,819.08 and 839.22 is: 1,256.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.42 : 1,819.08 = 839.22 : x
  2. Step 2: Convert to fraction form
    1,215.42/1,819.08 = 839.22/x
  3. Step 3: Cross multiply
    1,215.42x = 1,819.08 × 839.22
  4. Step 4: Simplify right side
    1,215.42x = 1,526,608.32
  5. Step 5: Solve for x
    x = 1,526,608.32/1,215.42
  6. Step 6: Final answer
    x = 1,256.03

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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.