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Finding the Fourth Proportional to 792.12, 1,187.81 and 271.98

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Solution

The fourth proportional to 792.12, 1,187.81 and 271.98 is: 407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.12 : 1,187.81 = 271.98 : x
  2. Step 2: Convert to fraction form
    792.12/1,187.81 = 271.98/x
  3. Step 3: Cross multiply
    792.12x = 1,187.81 × 271.98
  4. Step 4: Simplify right side
    792.12x = 323,060.56
  5. Step 5: Solve for x
    x = 323,060.56/792.12
  6. Step 6: Final answer
    x = 407.84

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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.