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Finding the Fourth Proportional to 1,480.13, 2,220.21 and 454.13

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Solution

The fourth proportional to 1,480.13, 2,220.21 and 454.13 is: 681.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.13 : 2,220.21 = 454.13 : x
  2. Step 2: Convert to fraction form
    1,480.13/2,220.21 = 454.13/x
  3. Step 3: Cross multiply
    1,480.13x = 2,220.21 × 454.13
  4. Step 4: Simplify right side
    1,480.13x = 1,008,252.87
  5. Step 5: Solve for x
    x = 1,008,252.87/1,480.13
  6. Step 6: Final answer
    x = 681.19

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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.