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Finding the Fourth Proportional to 1,442.91, 2,164.52 and 662.78

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Solution

The fourth proportional to 1,442.91, 2,164.52 and 662.78 is: 994.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.91 : 2,164.52 = 662.78 : x
  2. Step 2: Convert to fraction form
    1,442.91/2,164.52 = 662.78/x
  3. Step 3: Cross multiply
    1,442.91x = 2,164.52 × 662.78
  4. Step 4: Simplify right side
    1,442.91x = 1,434,586.43
  5. Step 5: Solve for x
    x = 1,434,586.43/1,442.91
  6. Step 6: Final answer
    x = 994.23

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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.