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Finding the Fourth Proportional to 1,219.33, 1,682.68 and 659.81

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Solution

The fourth proportional to 1,219.33, 1,682.68 and 659.81 is: 910.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.33 : 1,682.68 = 659.81 : x
  2. Step 2: Convert to fraction form
    1,219.33/1,682.68 = 659.81/x
  3. Step 3: Cross multiply
    1,219.33x = 1,682.68 × 659.81
  4. Step 4: Simplify right side
    1,219.33x = 1,110,249.09
  5. Step 5: Solve for x
    x = 1,110,249.09/1,219.33
  6. Step 6: Final answer
    x = 910.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.