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Finding the Fourth Proportional to 792.89, 1,094.76 and 513.29

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Solution

The fourth proportional to 792.89, 1,094.76 and 513.29 is: 708.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.89 : 1,094.76 = 513.29 : x
  2. Step 2: Convert to fraction form
    792.89/1,094.76 = 513.29/x
  3. Step 3: Cross multiply
    792.89x = 1,094.76 × 513.29
  4. Step 4: Simplify right side
    792.89x = 561,923.89
  5. Step 5: Solve for x
    x = 561,923.89/792.89
  6. Step 6: Final answer
    x = 708.71

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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.