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Finding the Fourth Proportional to 914.82, 1,370.34 and 681

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Solution

The fourth proportional to 914.82, 1,370.34 and 681 is: 1,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.82 : 1,370.34 = 681 : x
  2. Step 2: Convert to fraction form
    914.82/1,370.34 = 681/x
  3. Step 3: Cross multiply
    914.82x = 1,370.34 × 681
  4. Step 4: Simplify right side
    914.82x = 933,201.54
  5. Step 5: Solve for x
    x = 933,201.54/914.82
  6. Step 6: Final answer
    x = 1,020.09

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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.