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Finding the Fourth Proportional to 1,284.22, 1,927.46 and 668.34

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Solution

The fourth proportional to 1,284.22, 1,927.46 and 668.34 is: 1,003.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.22 : 1,927.46 = 668.34 : x
  2. Step 2: Convert to fraction form
    1,284.22/1,927.46 = 668.34/x
  3. Step 3: Cross multiply
    1,284.22x = 1,927.46 × 668.34
  4. Step 4: Simplify right side
    1,284.22x = 1,288,198.62
  5. Step 5: Solve for x
    x = 1,288,198.62/1,284.22
  6. Step 6: Final answer
    x = 1,003.10

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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.