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Finding the Fourth Proportional to 984.53, 1,474.44 and 692.33

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Solution

The fourth proportional to 984.53, 1,474.44 and 692.33 is: 1,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.53 : 1,474.44 = 692.33 : x
  2. Step 2: Convert to fraction form
    984.53/1,474.44 = 692.33/x
  3. Step 3: Cross multiply
    984.53x = 1,474.44 × 692.33
  4. Step 4: Simplify right side
    984.53x = 1,020,799.05
  5. Step 5: Solve for x
    x = 1,020,799.05/984.53
  6. Step 6: Final answer
    x = 1,036.84

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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.