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Finding the Fourth Proportional to 782.98, 1,174.53 and 235.15

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Solution

The fourth proportional to 782.98, 1,174.53 and 235.15 is: 352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.98 : 1,174.53 = 235.15 : x
  2. Step 2: Convert to fraction form
    782.98/1,174.53 = 235.15/x
  3. Step 3: Cross multiply
    782.98x = 1,174.53 × 235.15
  4. Step 4: Simplify right side
    782.98x = 276,190.73
  5. Step 5: Solve for x
    x = 276,190.73/782.98
  6. Step 6: Final answer
    x = 352.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.