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Finding the Fourth Proportional to 1,205.46, 1,805.67 and 897.84

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Solution

The fourth proportional to 1,205.46, 1,805.67 and 897.84 is: 1,344.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.46 : 1,805.67 = 897.84 : x
  2. Step 2: Convert to fraction form
    1,205.46/1,805.67 = 897.84/x
  3. Step 3: Cross multiply
    1,205.46x = 1,805.67 × 897.84
  4. Step 4: Simplify right side
    1,205.46x = 1,621,202.75
  5. Step 5: Solve for x
    x = 1,621,202.75/1,205.46
  6. Step 6: Final answer
    x = 1,344.88

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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.