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Finding the Fourth Proportional to 1,343.94, 2,014.68 and 759.30

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Solution

The fourth proportional to 1,343.94, 2,014.68 and 759.30 is: 1,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.94 : 2,014.68 = 759.30 : x
  2. Step 2: Convert to fraction form
    1,343.94/2,014.68 = 759.30/x
  3. Step 3: Cross multiply
    1,343.94x = 2,014.68 × 759.30
  4. Step 4: Simplify right side
    1,343.94x = 1,529,746.52
  5. Step 5: Solve for x
    x = 1,529,746.52/1,343.94
  6. Step 6: Final answer
    x = 1,138.26

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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.