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Finding the Fourth Proportional to 689.64, 1,034.34 and 381.80

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Solution

The fourth proportional to 689.64, 1,034.34 and 381.80 is: 572.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.64 : 1,034.34 = 381.80 : x
  2. Step 2: Convert to fraction form
    689.64/1,034.34 = 381.80/x
  3. Step 3: Cross multiply
    689.64x = 1,034.34 × 381.80
  4. Step 4: Simplify right side
    689.64x = 394,911.01
  5. Step 5: Solve for x
    x = 394,911.01/689.64
  6. Step 6: Final answer
    x = 572.63

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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.