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Finding the Fourth Proportional to 787.80, 1,180.38 and 757.80

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Solution

The fourth proportional to 787.80, 1,180.38 and 757.80 is: 1,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.80 : 1,180.38 = 757.80 : x
  2. Step 2: Convert to fraction form
    787.80/1,180.38 = 757.80/x
  3. Step 3: Cross multiply
    787.80x = 1,180.38 × 757.80
  4. Step 4: Simplify right side
    787.80x = 894,491.96
  5. Step 5: Solve for x
    x = 894,491.96/787.80
  6. Step 6: Final answer
    x = 1,135.43

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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.