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Finding the Fourth Proportional to 1,202.94, 1,804.16 and 381.29

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Solution

The fourth proportional to 1,202.94, 1,804.16 and 381.29 is: 571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.94 : 1,804.16 = 381.29 : x
  2. Step 2: Convert to fraction form
    1,202.94/1,804.16 = 381.29/x
  3. Step 3: Cross multiply
    1,202.94x = 1,804.16 × 381.29
  4. Step 4: Simplify right side
    1,202.94x = 687,897.24
  5. Step 5: Solve for x
    x = 687,897.24/1,202.94
  6. Step 6: Final answer
    x = 571.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.