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Finding the Fourth Proportional to 1,387.28, 1,914.44 and 757.81

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Solution

The fourth proportional to 1,387.28, 1,914.44 and 757.81 is: 1,045.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.28 : 1,914.44 = 757.81 : x
  2. Step 2: Convert to fraction form
    1,387.28/1,914.44 = 757.81/x
  3. Step 3: Cross multiply
    1,387.28x = 1,914.44 × 757.81
  4. Step 4: Simplify right side
    1,387.28x = 1,450,772.20
  5. Step 5: Solve for x
    x = 1,450,772.20/1,387.28
  6. Step 6: Final answer
    x = 1,045.77

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Why These Related Problems?

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