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Finding the Fourth Proportional to 834.12, 1,249.02 and 574.92

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Solution

The fourth proportional to 834.12, 1,249.02 and 574.92 is: 860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.12 : 1,249.02 = 574.92 : x
  2. Step 2: Convert to fraction form
    834.12/1,249.02 = 574.92/x
  3. Step 3: Cross multiply
    834.12x = 1,249.02 × 574.92
  4. Step 4: Simplify right side
    834.12x = 718,086.58
  5. Step 5: Solve for x
    x = 718,086.58/834.12
  6. Step 6: Final answer
    x = 860.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.