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Finding the Fourth Proportional to 792.88, 1,094.02 and 461.32

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Solution

The fourth proportional to 792.88, 1,094.02 and 461.32 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.88 : 1,094.02 = 461.32 : x
  2. Step 2: Convert to fraction form
    792.88/1,094.02 = 461.32/x
  3. Step 3: Cross multiply
    792.88x = 1,094.02 × 461.32
  4. Step 4: Simplify right side
    792.88x = 504,693.31
  5. Step 5: Solve for x
    x = 504,693.31/792.88
  6. Step 6: Final answer
    x = 636.53

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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.