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Finding the Fourth Proportional to 1,375.83, 2,062.29 and 451.15

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Solution

The fourth proportional to 1,375.83, 2,062.29 and 451.15 is: 676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.83 : 2,062.29 = 451.15 : x
  2. Step 2: Convert to fraction form
    1,375.83/2,062.29 = 451.15/x
  3. Step 3: Cross multiply
    1,375.83x = 2,062.29 × 451.15
  4. Step 4: Simplify right side
    1,375.83x = 930,396.98
  5. Step 5: Solve for x
    x = 930,396.98/1,375.83
  6. Step 6: Final answer
    x = 676.24

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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.