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Finding the Fourth Proportional to 1,786.96, 2,680.42 and 690.57

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Solution

The fourth proportional to 1,786.96, 2,680.42 and 690.57 is: 1,035.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.96 : 2,680.42 = 690.57 : x
  2. Step 2: Convert to fraction form
    1,786.96/2,680.42 = 690.57/x
  3. Step 3: Cross multiply
    1,786.96x = 2,680.42 × 690.57
  4. Step 4: Simplify right side
    1,786.96x = 1,851,017.64
  5. Step 5: Solve for x
    x = 1,851,017.64/1,786.96
  6. Step 6: Final answer
    x = 1,035.85

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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.