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Finding the Fourth Proportional to 1,202.69, 1,804.08 and 380.94

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Solution

The fourth proportional to 1,202.69, 1,804.08 and 380.94 is: 571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.69 : 1,804.08 = 380.94 : x
  2. Step 2: Convert to fraction form
    1,202.69/1,804.08 = 380.94/x
  3. Step 3: Cross multiply
    1,202.69x = 1,804.08 × 380.94
  4. Step 4: Simplify right side
    1,202.69x = 687,249.97
  5. Step 5: Solve for x
    x = 687,249.97/1,202.69
  6. Step 6: Final answer
    x = 571.43

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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.