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Finding the Fourth Proportional to 1,387.37, 1,914.89 and 890.43

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Solution

The fourth proportional to 1,387.37, 1,914.89 and 890.43 is: 1,229.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.37 : 1,914.89 = 890.43 : x
  2. Step 2: Convert to fraction form
    1,387.37/1,914.89 = 890.43/x
  3. Step 3: Cross multiply
    1,387.37x = 1,914.89 × 890.43
  4. Step 4: Simplify right side
    1,387.37x = 1,705,071.05
  5. Step 5: Solve for x
    x = 1,705,071.05/1,387.37
  6. Step 6: Final answer
    x = 1,229.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.