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Finding the Fourth Proportional to 835.44, 1,151.78 and 599.74

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Solution

The fourth proportional to 835.44, 1,151.78 and 599.74 is: 826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.44 : 1,151.78 = 599.74 : x
  2. Step 2: Convert to fraction form
    835.44/1,151.78 = 599.74/x
  3. Step 3: Cross multiply
    835.44x = 1,151.78 × 599.74
  4. Step 4: Simplify right side
    835.44x = 690,768.54
  5. Step 5: Solve for x
    x = 690,768.54/835.44
  6. Step 6: Final answer
    x = 826.83

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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.