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Finding the Fourth Proportional to 782.28, 1,173.04 and 234.27

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Solution

The fourth proportional to 782.28, 1,173.04 and 234.27 is: 351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.28 : 1,173.04 = 234.27 : x
  2. Step 2: Convert to fraction form
    782.28/1,173.04 = 234.27/x
  3. Step 3: Cross multiply
    782.28x = 1,173.04 × 234.27
  4. Step 4: Simplify right side
    782.28x = 274,808.08
  5. Step 5: Solve for x
    x = 274,808.08/782.28
  6. Step 6: Final answer
    x = 351.29

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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.