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Finding the Fourth Proportional to 1,537.26, 2,304.94 and 660.33

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Solution

The fourth proportional to 1,537.26, 2,304.94 and 660.33 is: 990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.26 : 2,304.94 = 660.33 : x
  2. Step 2: Convert to fraction form
    1,537.26/2,304.94 = 660.33/x
  3. Step 3: Cross multiply
    1,537.26x = 2,304.94 × 660.33
  4. Step 4: Simplify right side
    1,537.26x = 1,522,021.03
  5. Step 5: Solve for x
    x = 1,522,021.03/1,537.26
  6. Step 6: Final answer
    x = 990.09

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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.