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Finding the Fourth Proportional to 1,682.82, 2,525.70 and 709.62

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Solution

The fourth proportional to 1,682.82, 2,525.70 and 709.62 is: 1,065.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.82 : 2,525.70 = 709.62 : x
  2. Step 2: Convert to fraction form
    1,682.82/2,525.70 = 709.62/x
  3. Step 3: Cross multiply
    1,682.82x = 2,525.70 × 709.62
  4. Step 4: Simplify right side
    1,682.82x = 1,792,287.23
  5. Step 5: Solve for x
    x = 1,792,287.23/1,682.82
  6. Step 6: Final answer
    x = 1,065.05

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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.