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Finding the Fourth Proportional to 792.14, 1,187.76 and 271.94

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Solution

The fourth proportional to 792.14, 1,187.76 and 271.94 is: 407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.14 : 1,187.76 = 271.94 : x
  2. Step 2: Convert to fraction form
    792.14/1,187.76 = 271.94/x
  3. Step 3: Cross multiply
    792.14x = 1,187.76 × 271.94
  4. Step 4: Simplify right side
    792.14x = 322,999.45
  5. Step 5: Solve for x
    x = 322,999.45/792.14
  6. Step 6: Final answer
    x = 407.76

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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.