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Finding the Fourth Proportional to 1,072.11, 1,608.36 and 378.57

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Solution

The fourth proportional to 1,072.11, 1,608.36 and 378.57 is: 567.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.11 : 1,608.36 = 378.57 : x
  2. Step 2: Convert to fraction form
    1,072.11/1,608.36 = 378.57/x
  3. Step 3: Cross multiply
    1,072.11x = 1,608.36 × 378.57
  4. Step 4: Simplify right side
    1,072.11x = 608,876.85
  5. Step 5: Solve for x
    x = 608,876.85/1,072.11
  6. Step 6: Final answer
    x = 567.92

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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.