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Finding the Fourth Proportional to 1,392.28, 2,087.70 and 418.25

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Solution

The fourth proportional to 1,392.28, 2,087.70 and 418.25 is: 627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.28 : 2,087.70 = 418.25 : x
  2. Step 2: Convert to fraction form
    1,392.28/2,087.70 = 418.25/x
  3. Step 3: Cross multiply
    1,392.28x = 2,087.70 × 418.25
  4. Step 4: Simplify right side
    1,392.28x = 873,184.18
  5. Step 5: Solve for x
    x = 873,184.18/1,392.28
  6. Step 6: Final answer
    x = 627.16

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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.