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Finding the Fourth Proportional to 920.34, 1,374.03 and 834.21

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Solution

The fourth proportional to 920.34, 1,374.03 and 834.21 is: 1,245.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.34 : 1,374.03 = 834.21 : x
  2. Step 2: Convert to fraction form
    920.34/1,374.03 = 834.21/x
  3. Step 3: Cross multiply
    920.34x = 1,374.03 × 834.21
  4. Step 4: Simplify right side
    920.34x = 1,146,229.57
  5. Step 5: Solve for x
    x = 1,146,229.57/920.34
  6. Step 6: Final answer
    x = 1,245.44

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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.