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Finding the Fourth Proportional to 944.97, 1,304.07 and 525.33

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Solution

The fourth proportional to 944.97, 1,304.07 and 525.33 is: 724.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.97 : 1,304.07 = 525.33 : x
  2. Step 2: Convert to fraction form
    944.97/1,304.07 = 525.33/x
  3. Step 3: Cross multiply
    944.97x = 1,304.07 × 525.33
  4. Step 4: Simplify right side
    944.97x = 685,067.09
  5. Step 5: Solve for x
    x = 685,067.09/944.97
  6. Step 6: Final answer
    x = 724.96

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