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Finding the Fourth Proportional to 1,074.79, 1,611.09 and 490.19

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Solution

The fourth proportional to 1,074.79, 1,611.09 and 490.19 is: 734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.79 : 1,611.09 = 490.19 : x
  2. Step 2: Convert to fraction form
    1,074.79/1,611.09 = 490.19/x
  3. Step 3: Cross multiply
    1,074.79x = 1,611.09 × 490.19
  4. Step 4: Simplify right side
    1,074.79x = 789,744.23
  5. Step 5: Solve for x
    x = 789,744.23/1,074.79
  6. Step 6: Final answer
    x = 734.79

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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.