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Finding the Fourth Proportional to 853.28, 1,174.60 and 742.28

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Solution

The fourth proportional to 853.28, 1,174.60 and 742.28 is: 1,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.28 : 1,174.60 = 742.28 : x
  2. Step 2: Convert to fraction form
    853.28/1,174.60 = 742.28/x
  3. Step 3: Cross multiply
    853.28x = 1,174.60 × 742.28
  4. Step 4: Simplify right side
    853.28x = 871,882.09
  5. Step 5: Solve for x
    x = 871,882.09/853.28
  6. Step 6: Final answer
    x = 1,021.80

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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.