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Finding the Fourth Proportional to 1,523.66, 2,286.39 and 657.97

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Solution

The fourth proportional to 1,523.66, 2,286.39 and 657.97 is: 987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.66 : 2,286.39 = 657.97 : x
  2. Step 2: Convert to fraction form
    1,523.66/2,286.39 = 657.97/x
  3. Step 3: Cross multiply
    1,523.66x = 2,286.39 × 657.97
  4. Step 4: Simplify right side
    1,523.66x = 1,504,370.31
  5. Step 5: Solve for x
    x = 1,504,370.31/1,523.66
  6. Step 6: Final answer
    x = 987.34

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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.