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Finding the Fourth Proportional to 1,380.52, 1,905.14 and 759.52

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Solution

The fourth proportional to 1,380.52, 1,905.14 and 759.52 is: 1,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.52 : 1,905.14 = 759.52 : x
  2. Step 2: Convert to fraction form
    1,380.52/1,905.14 = 759.52/x
  3. Step 3: Cross multiply
    1,380.52x = 1,905.14 × 759.52
  4. Step 4: Simplify right side
    1,380.52x = 1,446,991.93
  5. Step 5: Solve for x
    x = 1,446,991.93/1,380.52
  6. Step 6: Final answer
    x = 1,048.15

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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.