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Finding the Fourth Proportional to 1,568.44, 2,351.06 and 643.48

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Solution

The fourth proportional to 1,568.44, 2,351.06 and 643.48 is: 964.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.44 : 2,351.06 = 643.48 : x
  2. Step 2: Convert to fraction form
    1,568.44/2,351.06 = 643.48/x
  3. Step 3: Cross multiply
    1,568.44x = 2,351.06 × 643.48
  4. Step 4: Simplify right side
    1,568.44x = 1,512,860.09
  5. Step 5: Solve for x
    x = 1,512,860.09/1,568.44
  6. Step 6: Final answer
    x = 964.56

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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.