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Finding the Fourth Proportional to 1,177.82, 1,764.41 and 683.18

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Solution

The fourth proportional to 1,177.82, 1,764.41 and 683.18 is: 1,023.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.82 : 1,764.41 = 683.18 : x
  2. Step 2: Convert to fraction form
    1,177.82/1,764.41 = 683.18/x
  3. Step 3: Cross multiply
    1,177.82x = 1,764.41 × 683.18
  4. Step 4: Simplify right side
    1,177.82x = 1,205,418.04
  5. Step 5: Solve for x
    x = 1,205,418.04/1,177.82
  6. Step 6: Final answer
    x = 1,023.43

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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.