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Finding the Fourth Proportional to 1,405.21, 2,107.81 and 480.77

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Solution

The fourth proportional to 1,405.21, 2,107.81 and 480.77 is: 721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.21 : 2,107.81 = 480.77 : x
  2. Step 2: Convert to fraction form
    1,405.21/2,107.81 = 480.77/x
  3. Step 3: Cross multiply
    1,405.21x = 2,107.81 × 480.77
  4. Step 4: Simplify right side
    1,405.21x = 1,013,371.81
  5. Step 5: Solve for x
    x = 1,013,371.81/1,405.21
  6. Step 6: Final answer
    x = 721.16

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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.