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Finding the Fourth Proportional to 1,084.13, 1,622.09 and 997.01

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Solution

The fourth proportional to 1,084.13, 1,622.09 and 997.01 is: 1,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.13 : 1,622.09 = 997.01 : x
  2. Step 2: Convert to fraction form
    1,084.13/1,622.09 = 997.01/x
  3. Step 3: Cross multiply
    1,084.13x = 1,622.09 × 997.01
  4. Step 4: Simplify right side
    1,084.13x = 1,617,240.42
  5. Step 5: Solve for x
    x = 1,617,240.42/1,084.13
  6. Step 6: Final answer
    x = 1,491.73

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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.