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Finding the Fourth Proportional to 793.82, 1,094.01 and 527.79

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Solution

The fourth proportional to 793.82, 1,094.01 and 527.79 is: 727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.82 : 1,094.01 = 527.79 : x
  2. Step 2: Convert to fraction form
    793.82/1,094.01 = 527.79/x
  3. Step 3: Cross multiply
    793.82x = 1,094.01 × 527.79
  4. Step 4: Simplify right side
    793.82x = 577,407.54
  5. Step 5: Solve for x
    x = 577,407.54/793.82
  6. Step 6: Final answer
    x = 727.38

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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.