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Finding the Fourth Proportional to 1,072.36, 1,604.89 and 829.97

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Solution

The fourth proportional to 1,072.36, 1,604.89 and 829.97 is: 1,242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.36 : 1,604.89 = 829.97 : x
  2. Step 2: Convert to fraction form
    1,072.36/1,604.89 = 829.97/x
  3. Step 3: Cross multiply
    1,072.36x = 1,604.89 × 829.97
  4. Step 4: Simplify right side
    1,072.36x = 1,332,010.55
  5. Step 5: Solve for x
    x = 1,332,010.55/1,072.36
  6. Step 6: Final answer
    x = 1,242.13

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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.