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Finding the Fourth Proportional to 1,568.56, 2,352.84 and 643.90

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Solution

The fourth proportional to 1,568.56, 2,352.84 and 643.90 is: 965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.56 : 2,352.84 = 643.90 : x
  2. Step 2: Convert to fraction form
    1,568.56/2,352.84 = 643.90/x
  3. Step 3: Cross multiply
    1,568.56x = 2,352.84 × 643.90
  4. Step 4: Simplify right side
    1,568.56x = 1,514,993.68
  5. Step 5: Solve for x
    x = 1,514,993.68/1,568.56
  6. Step 6: Final answer
    x = 965.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.