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Finding the Fourth Proportional to 1,195.92, 1,791.76 and 1,020.83

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Solution

The fourth proportional to 1,195.92, 1,791.76 and 1,020.83 is: 1,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.92 : 1,791.76 = 1,020.83 : x
  2. Step 2: Convert to fraction form
    1,195.92/1,791.76 = 1,020.83/x
  3. Step 3: Cross multiply
    1,195.92x = 1,791.76 × 1,020.83
  4. Step 4: Simplify right side
    1,195.92x = 1,829,088.12
  5. Step 5: Solve for x
    x = 1,829,088.12/1,195.92
  6. Step 6: Final answer
    x = 1,529.44

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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.