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Finding the Fourth Proportional to 1,392.21, 2,088.30 and 418.31

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Solution

The fourth proportional to 1,392.21, 2,088.30 and 418.31 is: 627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.21 : 2,088.30 = 418.31 : x
  2. Step 2: Convert to fraction form
    1,392.21/2,088.30 = 418.31/x
  3. Step 3: Cross multiply
    1,392.21x = 2,088.30 × 418.31
  4. Step 4: Simplify right side
    1,392.21x = 873,546.33
  5. Step 5: Solve for x
    x = 873,546.33/1,392.21
  6. Step 6: Final answer
    x = 627.45

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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.