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Finding the Fourth Proportional to 1,213.02, 1,672.92 and 820.59

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Solution

The fourth proportional to 1,213.02, 1,672.92 and 820.59 is: 1,131.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.02 : 1,672.92 = 820.59 : x
  2. Step 2: Convert to fraction form
    1,213.02/1,672.92 = 820.59/x
  3. Step 3: Cross multiply
    1,213.02x = 1,672.92 × 820.59
  4. Step 4: Simplify right side
    1,213.02x = 1,372,781.42
  5. Step 5: Solve for x
    x = 1,372,781.42/1,213.02
  6. Step 6: Final answer
    x = 1,131.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.