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Finding the Fourth Proportional to 1,344.70, 2,016.54 and 759.07

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Solution

The fourth proportional to 1,344.70, 2,016.54 and 759.07 is: 1,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.70 : 2,016.54 = 759.07 : x
  2. Step 2: Convert to fraction form
    1,344.70/2,016.54 = 759.07/x
  3. Step 3: Cross multiply
    1,344.70x = 2,016.54 × 759.07
  4. Step 4: Simplify right side
    1,344.70x = 1,530,695.02
  5. Step 5: Solve for x
    x = 1,530,695.02/1,344.70
  6. Step 6: Final answer
    x = 1,138.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.