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Finding the Fourth Proportional to 782.56, 1,174.04 and 234.74

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Solution

The fourth proportional to 782.56, 1,174.04 and 234.74 is: 352.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.56 : 1,174.04 = 234.74 : x
  2. Step 2: Convert to fraction form
    782.56/1,174.04 = 234.74/x
  3. Step 3: Cross multiply
    782.56x = 1,174.04 × 234.74
  4. Step 4: Simplify right side
    782.56x = 275,594.15
  5. Step 5: Solve for x
    x = 275,594.15/782.56
  6. Step 6: Final answer
    x = 352.17

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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.