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Finding the Fourth Proportional to 997.33, 1,376.49 and 649.03

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Solution

The fourth proportional to 997.33, 1,376.49 and 649.03 is: 895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.33 : 1,376.49 = 649.03 : x
  2. Step 2: Convert to fraction form
    997.33/1,376.49 = 649.03/x
  3. Step 3: Cross multiply
    997.33x = 1,376.49 × 649.03
  4. Step 4: Simplify right side
    997.33x = 893,383.30
  5. Step 5: Solve for x
    x = 893,383.30/997.33
  6. Step 6: Final answer
    x = 895.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.