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Finding the Fourth Proportional to 839.36, 1,157.96 and 540.54

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Solution

The fourth proportional to 839.36, 1,157.96 and 540.54 is: 745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.36 : 1,157.96 = 540.54 : x
  2. Step 2: Convert to fraction form
    839.36/1,157.96 = 540.54/x
  3. Step 3: Cross multiply
    839.36x = 1,157.96 × 540.54
  4. Step 4: Simplify right side
    839.36x = 625,925.05
  5. Step 5: Solve for x
    x = 625,925.05/839.36
  6. Step 6: Final answer
    x = 745.71

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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.