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Finding the Fourth Proportional to 782.98, 1,174.12 and 235.14

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Solution

The fourth proportional to 782.98, 1,174.12 and 235.14 is: 352.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.98 : 1,174.12 = 235.14 : x
  2. Step 2: Convert to fraction form
    782.98/1,174.12 = 235.14/x
  3. Step 3: Cross multiply
    782.98x = 1,174.12 × 235.14
  4. Step 4: Simplify right side
    782.98x = 276,082.58
  5. Step 5: Solve for x
    x = 276,082.58/782.98
  6. Step 6: Final answer
    x = 352.60

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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.