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Finding the Fourth Proportional to 834.54, 1,245.85 and 725.22

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Solution

The fourth proportional to 834.54, 1,245.85 and 725.22 is: 1,082.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.54 : 1,245.85 = 725.22 : x
  2. Step 2: Convert to fraction form
    834.54/1,245.85 = 725.22/x
  3. Step 3: Cross multiply
    834.54x = 1,245.85 × 725.22
  4. Step 4: Simplify right side
    834.54x = 903,515.34
  5. Step 5: Solve for x
    x = 903,515.34/834.54
  6. Step 6: Final answer
    x = 1,082.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.