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Finding the Fourth Proportional to 929.82, 1,391.97 and 563.49

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Solution

The fourth proportional to 929.82, 1,391.97 and 563.49 is: 843.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.82 : 1,391.97 = 563.49 : x
  2. Step 2: Convert to fraction form
    929.82/1,391.97 = 563.49/x
  3. Step 3: Cross multiply
    929.82x = 1,391.97 × 563.49
  4. Step 4: Simplify right side
    929.82x = 784,361.18
  5. Step 5: Solve for x
    x = 784,361.18/929.82
  6. Step 6: Final answer
    x = 843.56

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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.