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Finding the Fourth Proportional to 1,406, 2,108.83 and 481.54

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Solution

The fourth proportional to 1,406, 2,108.83 and 481.54 is: 722.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406 : 2,108.83 = 481.54 : x
  2. Step 2: Convert to fraction form
    1,406/2,108.83 = 481.54/x
  3. Step 3: Cross multiply
    1,406x = 2,108.83 × 481.54
  4. Step 4: Simplify right side
    1,406x = 1,015,486.00
  5. Step 5: Solve for x
    x = 1,015,486.00/1,406
  6. Step 6: Final answer
    x = 722.25

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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.