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Finding the Fourth Proportional to 792.55, 1,091.22 and 674.29

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Solution

The fourth proportional to 792.55, 1,091.22 and 674.29 is: 928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.55 : 1,091.22 = 674.29 : x
  2. Step 2: Convert to fraction form
    792.55/1,091.22 = 674.29/x
  3. Step 3: Cross multiply
    792.55x = 1,091.22 × 674.29
  4. Step 4: Simplify right side
    792.55x = 735,798.73
  5. Step 5: Solve for x
    x = 735,798.73/792.55
  6. Step 6: Final answer
    x = 928.39

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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.