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Finding the Fourth Proportional to 1,387.26, 1,914.42 and 757.80

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Solution

The fourth proportional to 1,387.26, 1,914.42 and 757.80 is: 1,045.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.26 : 1,914.42 = 757.80 : x
  2. Step 2: Convert to fraction form
    1,387.26/1,914.42 = 757.80/x
  3. Step 3: Cross multiply
    1,387.26x = 1,914.42 × 757.80
  4. Step 4: Simplify right side
    1,387.26x = 1,450,747.48
  5. Step 5: Solve for x
    x = 1,450,747.48/1,387.26
  6. Step 6: Final answer
    x = 1,045.76

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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.