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Finding the Fourth Proportional to 1,075.14, 1,611.08 and 489.81

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Solution

The fourth proportional to 1,075.14, 1,611.08 and 489.81 is: 733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.14 : 1,611.08 = 489.81 : x
  2. Step 2: Convert to fraction form
    1,075.14/1,611.08 = 489.81/x
  3. Step 3: Cross multiply
    1,075.14x = 1,611.08 × 489.81
  4. Step 4: Simplify right side
    1,075.14x = 789,120.65
  5. Step 5: Solve for x
    x = 789,120.65/1,075.14
  6. Step 6: Final answer
    x = 733.97

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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.