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Finding the Fourth Proportional to 1,539.27, 2,309.45 and 798.53

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Solution

The fourth proportional to 1,539.27, 2,309.45 and 798.53 is: 1,198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.27 : 2,309.45 = 798.53 : x
  2. Step 2: Convert to fraction form
    1,539.27/2,309.45 = 798.53/x
  3. Step 3: Cross multiply
    1,539.27x = 2,309.45 × 798.53
  4. Step 4: Simplify right side
    1,539.27x = 1,844,149.57
  5. Step 5: Solve for x
    x = 1,844,149.57/1,539.27
  6. Step 6: Final answer
    x = 1,198.07

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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.