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Finding the Fourth Proportional to 1,444.56, 2,166.75 and 418.56

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Solution

The fourth proportional to 1,444.56, 2,166.75 and 418.56 is: 627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.56 : 2,166.75 = 418.56 : x
  2. Step 2: Convert to fraction form
    1,444.56/2,166.75 = 418.56/x
  3. Step 3: Cross multiply
    1,444.56x = 2,166.75 × 418.56
  4. Step 4: Simplify right side
    1,444.56x = 906,914.88
  5. Step 5: Solve for x
    x = 906,914.88/1,444.56
  6. Step 6: Final answer
    x = 627.81

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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.