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Finding the Fourth Proportional to 792.24, 1,186.57 and 381.66

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Solution

The fourth proportional to 792.24, 1,186.57 and 381.66 is: 571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.24 : 1,186.57 = 381.66 : x
  2. Step 2: Convert to fraction form
    792.24/1,186.57 = 381.66/x
  3. Step 3: Cross multiply
    792.24x = 1,186.57 × 381.66
  4. Step 4: Simplify right side
    792.24x = 452,866.31
  5. Step 5: Solve for x
    x = 452,866.31/792.24
  6. Step 6: Final answer
    x = 571.63

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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.