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Finding the Fourth Proportional to 1,540.64, 2,309.33 and 759.58

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Solution

The fourth proportional to 1,540.64, 2,309.33 and 759.58 is: 1,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.64 : 2,309.33 = 759.58 : x
  2. Step 2: Convert to fraction form
    1,540.64/2,309.33 = 759.58/x
  3. Step 3: Cross multiply
    1,540.64x = 2,309.33 × 759.58
  4. Step 4: Simplify right side
    1,540.64x = 1,754,117.01
  5. Step 5: Solve for x
    x = 1,754,117.01/1,540.64
  6. Step 6: Final answer
    x = 1,138.56

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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.