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Finding the Fourth Proportional to 997.54, 1,372.41 and 970.20

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Solution

The fourth proportional to 997.54, 1,372.41 and 970.20 is: 1,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.54 : 1,372.41 = 970.20 : x
  2. Step 2: Convert to fraction form
    997.54/1,372.41 = 970.20/x
  3. Step 3: Cross multiply
    997.54x = 1,372.41 × 970.20
  4. Step 4: Simplify right side
    997.54x = 1,331,512.18
  5. Step 5: Solve for x
    x = 1,331,512.18/997.54
  6. Step 6: Final answer
    x = 1,334.80

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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.