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Finding the Fourth Proportional to 839.12, 1,157.42 and 506.97

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Solution

The fourth proportional to 839.12, 1,157.42 and 506.97 is: 699.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.12 : 1,157.42 = 506.97 : x
  2. Step 2: Convert to fraction form
    839.12/1,157.42 = 506.97/x
  3. Step 3: Cross multiply
    839.12x = 1,157.42 × 506.97
  4. Step 4: Simplify right side
    839.12x = 586,774.68
  5. Step 5: Solve for x
    x = 586,774.68/839.12
  6. Step 6: Final answer
    x = 699.27

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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.