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Finding the Fourth Proportional to 984.26, 1,476.40 and 793.10

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Solution

The fourth proportional to 984.26, 1,476.40 and 793.10 is: 1,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.26 : 1,476.40 = 793.10 : x
  2. Step 2: Convert to fraction form
    984.26/1,476.40 = 793.10/x
  3. Step 3: Cross multiply
    984.26x = 1,476.40 × 793.10
  4. Step 4: Simplify right side
    984.26x = 1,170,932.84
  5. Step 5: Solve for x
    x = 1,170,932.84/984.26
  6. Step 6: Final answer
    x = 1,189.66

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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.