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Finding the Fourth Proportional to 1,444.21, 2,166.66 and 622.49

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Solution

The fourth proportional to 1,444.21, 2,166.66 and 622.49 is: 933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.21 : 2,166.66 = 622.49 : x
  2. Step 2: Convert to fraction form
    1,444.21/2,166.66 = 622.49/x
  3. Step 3: Cross multiply
    1,444.21x = 2,166.66 × 622.49
  4. Step 4: Simplify right side
    1,444.21x = 1,348,724.18
  5. Step 5: Solve for x
    x = 1,348,724.18/1,444.21
  6. Step 6: Final answer
    x = 933.88

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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.