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Finding the Fourth Proportional to 1,375.19, 2,063.75 and 681.73

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Solution

The fourth proportional to 1,375.19, 2,063.75 and 681.73 is: 1,023.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.19 : 2,063.75 = 681.73 : x
  2. Step 2: Convert to fraction form
    1,375.19/2,063.75 = 681.73/x
  3. Step 3: Cross multiply
    1,375.19x = 2,063.75 × 681.73
  4. Step 4: Simplify right side
    1,375.19x = 1,406,911.72
  5. Step 5: Solve for x
    x = 1,406,911.72/1,375.19
  6. Step 6: Final answer
    x = 1,023.07

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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.