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Finding the Fourth Proportional to 1,255.38, 1,880.31 and 889.05

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Solution

The fourth proportional to 1,255.38, 1,880.31 and 889.05 is: 1,331.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.38 : 1,880.31 = 889.05 : x
  2. Step 2: Convert to fraction form
    1,255.38/1,880.31 = 889.05/x
  3. Step 3: Cross multiply
    1,255.38x = 1,880.31 × 889.05
  4. Step 4: Simplify right side
    1,255.38x = 1,671,699.99
  5. Step 5: Solve for x
    x = 1,671,699.99/1,255.38
  6. Step 6: Final answer
    x = 1,331.63

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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.