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Finding the Fourth Proportional to 1,375.91, 2,064.09 and 451.20

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Solution

The fourth proportional to 1,375.91, 2,064.09 and 451.20 is: 676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.91 : 2,064.09 = 451.20 : x
  2. Step 2: Convert to fraction form
    1,375.91/2,064.09 = 451.20/x
  3. Step 3: Cross multiply
    1,375.91x = 2,064.09 × 451.20
  4. Step 4: Simplify right side
    1,375.91x = 931,317.41
  5. Step 5: Solve for x
    x = 931,317.41/1,375.91
  6. Step 6: Final answer
    x = 676.88

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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.