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Finding the Fourth Proportional to 1,694.65, 2,543.06 and 720.75

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Solution

The fourth proportional to 1,694.65, 2,543.06 and 720.75 is: 1,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.65 : 2,543.06 = 720.75 : x
  2. Step 2: Convert to fraction form
    1,694.65/2,543.06 = 720.75/x
  3. Step 3: Cross multiply
    1,694.65x = 2,543.06 × 720.75
  4. Step 4: Simplify right side
    1,694.65x = 1,832,906.89
  5. Step 5: Solve for x
    x = 1,832,906.89/1,694.65
  6. Step 6: Final answer
    x = 1,081.58

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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.