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Finding the Fourth Proportional to 839.14, 1,157.43 and 577.78

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Solution

The fourth proportional to 839.14, 1,157.43 and 577.78 is: 796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.14 : 1,157.43 = 577.78 : x
  2. Step 2: Convert to fraction form
    839.14/1,157.43 = 577.78/x
  3. Step 3: Cross multiply
    839.14x = 1,157.43 × 577.78
  4. Step 4: Simplify right side
    839.14x = 668,739.91
  5. Step 5: Solve for x
    x = 668,739.91/839.14
  6. Step 6: Final answer
    x = 796.93

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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.