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Finding the Fourth Proportional to 839, 1,157.76 and 465.96

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Solution

The fourth proportional to 839, 1,157.76 and 465.96 is: 642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    839 : 1,157.76 = 465.96 : x
  2. Step 2: Convert to fraction form
    839/1,157.76 = 465.96/x
  3. Step 3: Cross multiply
    839x = 1,157.76 × 465.96
  4. Step 4: Simplify right side
    839x = 539,469.85
  5. Step 5: Solve for x
    x = 539,469.85/839
  6. Step 6: Final answer
    x = 642.99

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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.