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Finding the Fourth Proportional to 834.05, 1,149.90 and 684.11

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Solution

The fourth proportional to 834.05, 1,149.90 and 684.11 is: 943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.05 : 1,149.90 = 684.11 : x
  2. Step 2: Convert to fraction form
    834.05/1,149.90 = 684.11/x
  3. Step 3: Cross multiply
    834.05x = 1,149.90 × 684.11
  4. Step 4: Simplify right side
    834.05x = 786,658.09
  5. Step 5: Solve for x
    x = 786,658.09/834.05
  6. Step 6: Final answer
    x = 943.18

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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.