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Finding the Fourth Proportional to 1,375.42, 2,063.26 and 450.74

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Solution

The fourth proportional to 1,375.42, 2,063.26 and 450.74 is: 676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.42 : 2,063.26 = 450.74 : x
  2. Step 2: Convert to fraction form
    1,375.42/2,063.26 = 450.74/x
  3. Step 3: Cross multiply
    1,375.42x = 2,063.26 × 450.74
  4. Step 4: Simplify right side
    1,375.42x = 929,993.81
  5. Step 5: Solve for x
    x = 929,993.81/1,375.42
  6. Step 6: Final answer
    x = 676.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.