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Finding the Fourth Proportional to 814.41, 1,219.78 and 787.07

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Solution

The fourth proportional to 814.41, 1,219.78 and 787.07 is: 1,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.41 : 1,219.78 = 787.07 : x
  2. Step 2: Convert to fraction form
    814.41/1,219.78 = 787.07/x
  3. Step 3: Cross multiply
    814.41x = 1,219.78 × 787.07
  4. Step 4: Simplify right side
    814.41x = 960,052.24
  5. Step 5: Solve for x
    x = 960,052.24/814.41
  6. Step 6: Final answer
    x = 1,178.83

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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.