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Finding the Fourth Proportional to 1,539.82, 2,309.73 and 718.48

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Solution

The fourth proportional to 1,539.82, 2,309.73 and 718.48 is: 1,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.82 : 2,309.73 = 718.48 : x
  2. Step 2: Convert to fraction form
    1,539.82/2,309.73 = 718.48/x
  3. Step 3: Cross multiply
    1,539.82x = 2,309.73 × 718.48
  4. Step 4: Simplify right side
    1,539.82x = 1,659,479.67
  5. Step 5: Solve for x
    x = 1,659,479.67/1,539.82
  6. Step 6: Final answer
    x = 1,077.71

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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.