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Finding the Fourth Proportional to 792.86, 1,093.97 and 513

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Solution

The fourth proportional to 792.86, 1,093.97 and 513 is: 707.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.86 : 1,093.97 = 513 : x
  2. Step 2: Convert to fraction form
    792.86/1,093.97 = 513/x
  3. Step 3: Cross multiply
    792.86x = 1,093.97 × 513
  4. Step 4: Simplify right side
    792.86x = 561,204.05
  5. Step 5: Solve for x
    x = 561,204.05/792.86
  6. Step 6: Final answer
    x = 707.83

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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.