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Finding the Fourth Proportional to 1,072.16, 1,608.72 and 379.34

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Solution

The fourth proportional to 1,072.16, 1,608.72 and 379.34 is: 569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.16 : 1,608.72 = 379.34 : x
  2. Step 2: Convert to fraction form
    1,072.16/1,608.72 = 379.34/x
  3. Step 3: Cross multiply
    1,072.16x = 1,608.72 × 379.34
  4. Step 4: Simplify right side
    1,072.16x = 610,243.80
  5. Step 5: Solve for x
    x = 610,243.80/1,072.16
  6. Step 6: Final answer
    x = 569.17

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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.