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Finding the Fourth Proportional to 997.87, 1,497.21 and 450.31

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Solution

The fourth proportional to 997.87, 1,497.21 and 450.31 is: 675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.87 : 1,497.21 = 450.31 : x
  2. Step 2: Convert to fraction form
    997.87/1,497.21 = 450.31/x
  3. Step 3: Cross multiply
    997.87x = 1,497.21 × 450.31
  4. Step 4: Simplify right side
    997.87x = 674,208.64
  5. Step 5: Solve for x
    x = 674,208.64/997.87
  6. Step 6: Final answer
    x = 675.65

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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.