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Finding the Fourth Proportional to 792.19, 1,093.23 and 442.90

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Solution

The fourth proportional to 792.19, 1,093.23 and 442.90 is: 611.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.19 : 1,093.23 = 442.90 : x
  2. Step 2: Convert to fraction form
    792.19/1,093.23 = 442.90/x
  3. Step 3: Cross multiply
    792.19x = 1,093.23 × 442.90
  4. Step 4: Simplify right side
    792.19x = 484,191.57
  5. Step 5: Solve for x
    x = 484,191.57/792.19
  6. Step 6: Final answer
    x = 611.21

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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.