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Finding the Fourth Proportional to 1,744.75, 2,618.33 and 718.75

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Solution

The fourth proportional to 1,744.75, 2,618.33 and 718.75 is: 1,078.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.75 : 2,618.33 = 718.75 : x
  2. Step 2: Convert to fraction form
    1,744.75/2,618.33 = 718.75/x
  3. Step 3: Cross multiply
    1,744.75x = 2,618.33 × 718.75
  4. Step 4: Simplify right side
    1,744.75x = 1,881,921.09
  5. Step 5: Solve for x
    x = 1,881,921.09/1,744.75
  6. Step 6: Final answer
    x = 1,078.62

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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.