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Finding the Fourth Proportional to 1,256.23, 1,884.37 and 331.80

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Solution

The fourth proportional to 1,256.23, 1,884.37 and 331.80 is: 497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.23 : 1,884.37 = 331.80 : x
  2. Step 2: Convert to fraction form
    1,256.23/1,884.37 = 331.80/x
  3. Step 3: Cross multiply
    1,256.23x = 1,884.37 × 331.80
  4. Step 4: Simplify right side
    1,256.23x = 625,233.97
  5. Step 5: Solve for x
    x = 625,233.97/1,256.23
  6. Step 6: Final answer
    x = 497.71

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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.