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Finding the Fourth Proportional to 1,578.64, 2,367.39 and 467.73

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Solution

The fourth proportional to 1,578.64, 2,367.39 and 467.73 is: 701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.64 : 2,367.39 = 467.73 : x
  2. Step 2: Convert to fraction form
    1,578.64/2,367.39 = 467.73/x
  3. Step 3: Cross multiply
    1,578.64x = 2,367.39 × 467.73
  4. Step 4: Simplify right side
    1,578.64x = 1,107,287.49
  5. Step 5: Solve for x
    x = 1,107,287.49/1,578.64
  6. Step 6: Final answer
    x = 701.42

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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.