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Finding the Fourth Proportional to 1,305, 1,787.88 and 1,255.79

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Solution

The fourth proportional to 1,305, 1,787.88 and 1,255.79 is: 1,720.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305 : 1,787.88 = 1,255.79 : x
  2. Step 2: Convert to fraction form
    1,305/1,787.88 = 1,255.79/x
  3. Step 3: Cross multiply
    1,305x = 1,787.88 × 1,255.79
  4. Step 4: Simplify right side
    1,305x = 2,245,201.83
  5. Step 5: Solve for x
    x = 2,245,201.83/1,305
  6. Step 6: Final answer
    x = 1,720.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.