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Finding the Fourth Proportional to 1,381.57, 1,906.57 and 760.57

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Solution

The fourth proportional to 1,381.57, 1,906.57 and 760.57 is: 1,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.57 : 1,906.57 = 760.57 : x
  2. Step 2: Convert to fraction form
    1,381.57/1,906.57 = 760.57/x
  3. Step 3: Cross multiply
    1,381.57x = 1,906.57 × 760.57
  4. Step 4: Simplify right side
    1,381.57x = 1,450,079.94
  5. Step 5: Solve for x
    x = 1,450,079.94/1,381.57
  6. Step 6: Final answer
    x = 1,049.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.