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Finding the Fourth Proportional to 964.42, 1,445.39 and 834.41

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Solution

The fourth proportional to 964.42, 1,445.39 and 834.41 is: 1,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.42 : 1,445.39 = 834.41 : x
  2. Step 2: Convert to fraction form
    964.42/1,445.39 = 834.41/x
  3. Step 3: Cross multiply
    964.42x = 1,445.39 × 834.41
  4. Step 4: Simplify right side
    964.42x = 1,206,047.31
  5. Step 5: Solve for x
    x = 1,206,047.31/964.42
  6. Step 6: Final answer
    x = 1,250.54

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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.