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Finding the Fourth Proportional to 782.76, 1,174.15 and 205.63

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Solution

The fourth proportional to 782.76, 1,174.15 and 205.63 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.76 : 1,174.15 = 205.63 : x
  2. Step 2: Convert to fraction form
    782.76/1,174.15 = 205.63/x
  3. Step 3: Cross multiply
    782.76x = 1,174.15 × 205.63
  4. Step 4: Simplify right side
    782.76x = 241,440.46
  5. Step 5: Solve for x
    x = 241,440.46/782.76
  6. Step 6: Final answer
    x = 308.45

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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.