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Finding the Fourth Proportional to 792.64, 1,189.15 and 272.65

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Solution

The fourth proportional to 792.64, 1,189.15 and 272.65 is: 409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.64 : 1,189.15 = 272.65 : x
  2. Step 2: Convert to fraction form
    792.64/1,189.15 = 272.65/x
  3. Step 3: Cross multiply
    792.64x = 1,189.15 × 272.65
  4. Step 4: Simplify right side
    792.64x = 324,214.44
  5. Step 5: Solve for x
    x = 324,214.44/792.64
  6. Step 6: Final answer
    x = 409.03

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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.