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Finding the Fourth Proportional to 834.23, 1,150.77 and 519.54

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Solution

The fourth proportional to 834.23, 1,150.77 and 519.54 is: 716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,150.77 = 519.54 : x
  2. Step 2: Convert to fraction form
    834.23/1,150.77 = 519.54/x
  3. Step 3: Cross multiply
    834.23x = 1,150.77 × 519.54
  4. Step 4: Simplify right side
    834.23x = 597,868.45
  5. Step 5: Solve for x
    x = 597,868.45/834.23
  6. Step 6: Final answer
    x = 716.68

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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.