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Finding the Fourth Proportional to 782.86, 1,174.30 and 205.78

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Solution

The fourth proportional to 782.86, 1,174.30 and 205.78 is: 308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.86 : 1,174.30 = 205.78 : x
  2. Step 2: Convert to fraction form
    782.86/1,174.30 = 205.78/x
  3. Step 3: Cross multiply
    782.86x = 1,174.30 × 205.78
  4. Step 4: Simplify right side
    782.86x = 241,647.45
  5. Step 5: Solve for x
    x = 241,647.45/782.86
  6. Step 6: Final answer
    x = 308.67

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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.