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Finding the Fourth Proportional to 792.48, 1,093.88 and 513.24

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Solution

The fourth proportional to 792.48, 1,093.88 and 513.24 is: 708.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.48 : 1,093.88 = 513.24 : x
  2. Step 2: Convert to fraction form
    792.48/1,093.88 = 513.24/x
  3. Step 3: Cross multiply
    792.48x = 1,093.88 × 513.24
  4. Step 4: Simplify right side
    792.48x = 561,422.97
  5. Step 5: Solve for x
    x = 561,422.97/792.48
  6. Step 6: Final answer
    x = 708.44

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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.