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Finding the Fourth Proportional to 792.82, 1,093.06 and 543.71

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Solution

The fourth proportional to 792.82, 1,093.06 and 543.71 is: 749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.82 : 1,093.06 = 543.71 : x
  2. Step 2: Convert to fraction form
    792.82/1,093.06 = 543.71/x
  3. Step 3: Cross multiply
    792.82x = 1,093.06 × 543.71
  4. Step 4: Simplify right side
    792.82x = 594,311.06
  5. Step 5: Solve for x
    x = 594,311.06/792.82
  6. Step 6: Final answer
    x = 749.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.