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Finding the Fourth Proportional to 791.86, 1,094.44 and 583.34

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Solution

The fourth proportional to 791.86, 1,094.44 and 583.34 is: 806.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.86 : 1,094.44 = 583.34 : x
  2. Step 2: Convert to fraction form
    791.86/1,094.44 = 583.34/x
  3. Step 3: Cross multiply
    791.86x = 1,094.44 × 583.34
  4. Step 4: Simplify right side
    791.86x = 638,430.63
  5. Step 5: Solve for x
    x = 638,430.63/791.86
  6. Step 6: Final answer
    x = 806.24

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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.