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Finding the Fourth Proportional to 1,380.75, 1,905.44 and 759.75

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Solution

The fourth proportional to 1,380.75, 1,905.44 and 759.75 is: 1,048.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.75 : 1,905.44 = 759.75 : x
  2. Step 2: Convert to fraction form
    1,380.75/1,905.44 = 759.75/x
  3. Step 3: Cross multiply
    1,380.75x = 1,905.44 × 759.75
  4. Step 4: Simplify right side
    1,380.75x = 1,447,654.24
  5. Step 5: Solve for x
    x = 1,447,654.24/1,380.75
  6. Step 6: Final answer
    x = 1,048.46

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1.5x scale

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.