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Finding the Fourth Proportional to 1,568.81, 2,352.57 and 644.33

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Solution

The fourth proportional to 1,568.81, 2,352.57 and 644.33 is: 966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.81 : 2,352.57 = 644.33 : x
  2. Step 2: Convert to fraction form
    1,568.81/2,352.57 = 644.33/x
  3. Step 3: Cross multiply
    1,568.81x = 2,352.57 × 644.33
  4. Step 4: Simplify right side
    1,568.81x = 1,515,819.67
  5. Step 5: Solve for x
    x = 1,515,819.67/1,568.81
  6. Step 6: Final answer
    x = 966.23

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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.