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Finding the Fourth Proportional to 792.90, 1,189.53 and 382.23

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Solution

The fourth proportional to 792.90, 1,189.53 and 382.23 is: 573.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.90 : 1,189.53 = 382.23 : x
  2. Step 2: Convert to fraction form
    792.90/1,189.53 = 382.23/x
  3. Step 3: Cross multiply
    792.90x = 1,189.53 × 382.23
  4. Step 4: Simplify right side
    792.90x = 454,674.05
  5. Step 5: Solve for x
    x = 454,674.05/792.90
  6. Step 6: Final answer
    x = 573.43

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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.