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Finding the Fourth Proportional to 1,255.06, 1,732.27 and 835.43

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Solution

The fourth proportional to 1,255.06, 1,732.27 and 835.43 is: 1,153.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.06 : 1,732.27 = 835.43 : x
  2. Step 2: Convert to fraction form
    1,255.06/1,732.27 = 835.43/x
  3. Step 3: Cross multiply
    1,255.06x = 1,732.27 × 835.43
  4. Step 4: Simplify right side
    1,255.06x = 1,447,190.33
  5. Step 5: Solve for x
    x = 1,447,190.33/1,255.06
  6. Step 6: Final answer
    x = 1,153.08

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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.