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Finding the Fourth Proportional to 1,423.67, 1,964.67 and 794.23

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Solution

The fourth proportional to 1,423.67, 1,964.67 and 794.23 is: 1,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.67 : 1,964.67 = 794.23 : x
  2. Step 2: Convert to fraction form
    1,423.67/1,964.67 = 794.23/x
  3. Step 3: Cross multiply
    1,423.67x = 1,964.67 × 794.23
  4. Step 4: Simplify right side
    1,423.67x = 1,560,399.85
  5. Step 5: Solve for x
    x = 1,560,399.85/1,423.67
  6. Step 6: Final answer
    x = 1,096.04

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1.5x scale

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.