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Finding the Fourth Proportional to 825.96, 1,236.42 and 500.28

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Solution

The fourth proportional to 825.96, 1,236.42 and 500.28 is: 748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.96 : 1,236.42 = 500.28 : x
  2. Step 2: Convert to fraction form
    825.96/1,236.42 = 500.28/x
  3. Step 3: Cross multiply
    825.96x = 1,236.42 × 500.28
  4. Step 4: Simplify right side
    825.96x = 618,556.20
  5. Step 5: Solve for x
    x = 618,556.20/825.96
  6. Step 6: Final answer
    x = 748.89

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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.