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Finding the Fourth Proportional to 997.92, 1,378.44 and 704.16

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Solution

The fourth proportional to 997.92, 1,378.44 and 704.16 is: 972.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.92 : 1,378.44 = 704.16 : x
  2. Step 2: Convert to fraction form
    997.92/1,378.44 = 704.16/x
  3. Step 3: Cross multiply
    997.92x = 1,378.44 × 704.16
  4. Step 4: Simplify right side
    997.92x = 970,642.31
  5. Step 5: Solve for x
    x = 970,642.31/997.92
  6. Step 6: Final answer
    x = 972.67

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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.