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Finding the Fourth Proportional to 782.02, 1,173.21 and 769.78

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Solution

The fourth proportional to 782.02, 1,173.21 and 769.78 is: 1,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.02 : 1,173.21 = 769.78 : x
  2. Step 2: Convert to fraction form
    782.02/1,173.21 = 769.78/x
  3. Step 3: Cross multiply
    782.02x = 1,173.21 × 769.78
  4. Step 4: Simplify right side
    782.02x = 903,113.59
  5. Step 5: Solve for x
    x = 903,113.59/782.02
  6. Step 6: Final answer
    x = 1,154.85

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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.