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Finding the Fourth Proportional to 792.98, 1,189.67 and 272.99

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Solution

The fourth proportional to 792.98, 1,189.67 and 272.99 is: 409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.98 : 1,189.67 = 272.99 : x
  2. Step 2: Convert to fraction form
    792.98/1,189.67 = 272.99/x
  3. Step 3: Cross multiply
    792.98x = 1,189.67 × 272.99
  4. Step 4: Simplify right side
    792.98x = 324,762.93
  5. Step 5: Solve for x
    x = 324,762.93/792.98
  6. Step 6: Final answer
    x = 409.55

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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.