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Finding the Fourth Proportional to 782.87, 1,174.25 and 235.04

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Solution

The fourth proportional to 782.87, 1,174.25 and 235.04 is: 352.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.87 : 1,174.25 = 235.04 : x
  2. Step 2: Convert to fraction form
    782.87/1,174.25 = 235.04/x
  3. Step 3: Cross multiply
    782.87x = 1,174.25 × 235.04
  4. Step 4: Simplify right side
    782.87x = 275,989.11
  5. Step 5: Solve for x
    x = 275,989.11/782.87
  6. Step 6: Final answer
    x = 352.54

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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.