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Finding the Fourth Proportional to 1,480.68, 2,221.26 and 749.96

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Solution

The fourth proportional to 1,480.68, 2,221.26 and 749.96 is: 1,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.68 : 2,221.26 = 749.96 : x
  2. Step 2: Convert to fraction form
    1,480.68/2,221.26 = 749.96/x
  3. Step 3: Cross multiply
    1,480.68x = 2,221.26 × 749.96
  4. Step 4: Simplify right side
    1,480.68x = 1,665,856.15
  5. Step 5: Solve for x
    x = 1,665,856.15/1,480.68
  6. Step 6: Final answer
    x = 1,125.06

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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.