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Finding the Fourth Proportional to 792.99, 1,093.59 and 543.83

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Solution

The fourth proportional to 792.99, 1,093.59 and 543.83 is: 749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.99 : 1,093.59 = 543.83 : x
  2. Step 2: Convert to fraction form
    792.99/1,093.59 = 543.83/x
  3. Step 3: Cross multiply
    792.99x = 1,093.59 × 543.83
  4. Step 4: Simplify right side
    792.99x = 594,721.58
  5. Step 5: Solve for x
    x = 594,721.58/792.99
  6. Step 6: Final answer
    x = 749.97

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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.