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Finding the Fourth Proportional to 1,304.09, 1,954.41 and 572.75

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Solution

The fourth proportional to 1,304.09, 1,954.41 and 572.75 is: 858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.09 : 1,954.41 = 572.75 : x
  2. Step 2: Convert to fraction form
    1,304.09/1,954.41 = 572.75/x
  3. Step 3: Cross multiply
    1,304.09x = 1,954.41 × 572.75
  4. Step 4: Simplify right side
    1,304.09x = 1,119,388.33
  5. Step 5: Solve for x
    x = 1,119,388.33/1,304.09
  6. Step 6: Final answer
    x = 858.37

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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.