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Finding the Fourth Proportional to 1,415.12, 2,122.68 and 440.96

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Solution

The fourth proportional to 1,415.12, 2,122.68 and 440.96 is: 661.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.12 : 2,122.68 = 440.96 : x
  2. Step 2: Convert to fraction form
    1,415.12/2,122.68 = 440.96/x
  3. Step 3: Cross multiply
    1,415.12x = 2,122.68 × 440.96
  4. Step 4: Simplify right side
    1,415.12x = 936,016.97
  5. Step 5: Solve for x
    x = 936,016.97/1,415.12
  6. Step 6: Final answer
    x = 661.44

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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.