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Finding the Fourth Proportional to 997.24, 1,375.68 and 583

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Solution

The fourth proportional to 997.24, 1,375.68 and 583 is: 804.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.24 : 1,375.68 = 583 : x
  2. Step 2: Convert to fraction form
    997.24/1,375.68 = 583/x
  3. Step 3: Cross multiply
    997.24x = 1,375.68 × 583
  4. Step 4: Simplify right side
    997.24x = 802,021.44
  5. Step 5: Solve for x
    x = 802,021.44/997.24
  6. Step 6: Final answer
    x = 804.24

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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.