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Finding the Fourth Proportional to 793.61, 1,094.70 and 584.33

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Solution

The fourth proportional to 793.61, 1,094.70 and 584.33 is: 806.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.61 : 1,094.70 = 584.33 : x
  2. Step 2: Convert to fraction form
    793.61/1,094.70 = 584.33/x
  3. Step 3: Cross multiply
    793.61x = 1,094.70 × 584.33
  4. Step 4: Simplify right side
    793.61x = 639,660.58
  5. Step 5: Solve for x
    x = 639,660.58/793.61
  6. Step 6: Final answer
    x = 806.02

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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.