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Finding the Fourth Proportional to 1,444.87, 2,168.25 and 579.25

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Solution

The fourth proportional to 1,444.87, 2,168.25 and 579.25 is: 869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.87 : 2,168.25 = 579.25 : x
  2. Step 2: Convert to fraction form
    1,444.87/2,168.25 = 579.25/x
  3. Step 3: Cross multiply
    1,444.87x = 2,168.25 × 579.25
  4. Step 4: Simplify right side
    1,444.87x = 1,255,958.81
  5. Step 5: Solve for x
    x = 1,255,958.81/1,444.87
  6. Step 6: Final answer
    x = 869.25

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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.