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Finding the Fourth Proportional to 1,255.89, 1,733.31 and 732.21

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Solution

The fourth proportional to 1,255.89, 1,733.31 and 732.21 is: 1,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.89 : 1,733.31 = 732.21 : x
  2. Step 2: Convert to fraction form
    1,255.89/1,733.31 = 732.21/x
  3. Step 3: Cross multiply
    1,255.89x = 1,733.31 × 732.21
  4. Step 4: Simplify right side
    1,255.89x = 1,269,146.92
  5. Step 5: Solve for x
    x = 1,269,146.92/1,255.89
  6. Step 6: Final answer
    x = 1,010.56

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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.