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Finding the Fourth Proportional to 1,443.56, 2,164.77 and 518.94

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Solution

The fourth proportional to 1,443.56, 2,164.77 and 518.94 is: 778.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.56 : 2,164.77 = 518.94 : x
  2. Step 2: Convert to fraction form
    1,443.56/2,164.77 = 518.94/x
  3. Step 3: Cross multiply
    1,443.56x = 2,164.77 × 518.94
  4. Step 4: Simplify right side
    1,443.56x = 1,123,385.74
  5. Step 5: Solve for x
    x = 1,123,385.74/1,443.56
  6. Step 6: Final answer
    x = 778.21

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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.