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Finding the Fourth Proportional to 997.44, 1,493.88 and 477.81

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Solution

The fourth proportional to 997.44, 1,493.88 and 477.81 is: 715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.44 : 1,493.88 = 477.81 : x
  2. Step 2: Convert to fraction form
    997.44/1,493.88 = 477.81/x
  3. Step 3: Cross multiply
    997.44x = 1,493.88 × 477.81
  4. Step 4: Simplify right side
    997.44x = 713,795.14
  5. Step 5: Solve for x
    x = 713,795.14/997.44
  6. Step 6: Final answer
    x = 715.62

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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.