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Finding the Fourth Proportional to 1,368.31, 2,052.97 and 820.88

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Solution

The fourth proportional to 1,368.31, 2,052.97 and 820.88 is: 1,231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.31 : 2,052.97 = 820.88 : x
  2. Step 2: Convert to fraction form
    1,368.31/2,052.97 = 820.88/x
  3. Step 3: Cross multiply
    1,368.31x = 2,052.97 × 820.88
  4. Step 4: Simplify right side
    1,368.31x = 1,685,242.01
  5. Step 5: Solve for x
    x = 1,685,242.01/1,368.31
  6. Step 6: Final answer
    x = 1,231.63

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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.