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Finding the Fourth Proportional to 1,480.11, 2,220.39 and 505.98

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Solution

The fourth proportional to 1,480.11, 2,220.39 and 505.98 is: 759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.11 : 2,220.39 = 505.98 : x
  2. Step 2: Convert to fraction form
    1,480.11/2,220.39 = 505.98/x
  3. Step 3: Cross multiply
    1,480.11x = 2,220.39 × 505.98
  4. Step 4: Simplify right side
    1,480.11x = 1,123,472.93
  5. Step 5: Solve for x
    x = 1,123,472.93/1,480.11
  6. Step 6: Final answer
    x = 759.05

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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.