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Finding the Fourth Proportional to 1,081.03, 1,622 and 533.22

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Solution

The fourth proportional to 1,081.03, 1,622 and 533.22 is: 800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.03 : 1,622 = 533.22 : x
  2. Step 2: Convert to fraction form
    1,081.03/1,622 = 533.22/x
  3. Step 3: Cross multiply
    1,081.03x = 1,622 × 533.22
  4. Step 4: Simplify right side
    1,081.03x = 864,882.84
  5. Step 5: Solve for x
    x = 864,882.84/1,081.03
  6. Step 6: Final answer
    x = 800.05

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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.