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Finding the Fourth Proportional to 997.20, 1,444.50 and 997.20

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Solution

The fourth proportional to 997.20, 1,444.50 and 997.20 is: 1,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.20 : 1,444.50 = 997.20 : x
  2. Step 2: Convert to fraction form
    997.20/1,444.50 = 997.20/x
  3. Step 3: Cross multiply
    997.20x = 1,444.50 × 997.20
  4. Step 4: Simplify right side
    997.20x = 1,440,455.40
  5. Step 5: Solve for x
    x = 1,440,455.40/997.20
  6. Step 6: Final answer
    x = 1,444.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.