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Finding the Fourth Proportional to 792.56, 1,094.24 and 512.92

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Solution

The fourth proportional to 792.56, 1,094.24 and 512.92 is: 708.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.56 : 1,094.24 = 512.92 : x
  2. Step 2: Convert to fraction form
    792.56/1,094.24 = 512.92/x
  3. Step 3: Cross multiply
    792.56x = 1,094.24 × 512.92
  4. Step 4: Simplify right side
    792.56x = 561,257.58
  5. Step 5: Solve for x
    x = 561,257.58/792.56
  6. Step 6: Final answer
    x = 708.16

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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.