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Finding the Fourth Proportional to 1,339.37, 2,011.37 and 794.96

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Solution

The fourth proportional to 1,339.37, 2,011.37 and 794.96 is: 1,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.37 : 2,011.37 = 794.96 : x
  2. Step 2: Convert to fraction form
    1,339.37/2,011.37 = 794.96/x
  3. Step 3: Cross multiply
    1,339.37x = 2,011.37 × 794.96
  4. Step 4: Simplify right side
    1,339.37x = 1,598,963.52
  5. Step 5: Solve for x
    x = 1,598,963.52/1,339.37
  6. Step 6: Final answer
    x = 1,193.82

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