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Finding the Fourth Proportional to 1,192.29, 1,785.99 and 672.27

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Solution

The fourth proportional to 1,192.29, 1,785.99 and 672.27 is: 1,007.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.29 : 1,785.99 = 672.27 : x
  2. Step 2: Convert to fraction form
    1,192.29/1,785.99 = 672.27/x
  3. Step 3: Cross multiply
    1,192.29x = 1,785.99 × 672.27
  4. Step 4: Simplify right side
    1,192.29x = 1,200,667.50
  5. Step 5: Solve for x
    x = 1,200,667.50/1,192.29
  6. Step 6: Final answer
    x = 1,007.03

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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.