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Finding the Fourth Proportional to 1,405.92, 2,109 and 481.53

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Solution

The fourth proportional to 1,405.92, 2,109 and 481.53 is: 722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.92 : 2,109 = 481.53 : x
  2. Step 2: Convert to fraction form
    1,405.92/2,109 = 481.53/x
  3. Step 3: Cross multiply
    1,405.92x = 2,109 × 481.53
  4. Step 4: Simplify right side
    1,405.92x = 1,015,546.77
  5. Step 5: Solve for x
    x = 1,015,546.77/1,405.92
  6. Step 6: Final answer
    x = 722.34

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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.