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Finding the Fourth Proportional to 1,405.12, 2,107.48 and 480.64

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Solution

The fourth proportional to 1,405.12, 2,107.48 and 480.64 is: 720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.12 : 2,107.48 = 480.64 : x
  2. Step 2: Convert to fraction form
    1,405.12/2,107.48 = 480.64/x
  3. Step 3: Cross multiply
    1,405.12x = 2,107.48 × 480.64
  4. Step 4: Simplify right side
    1,405.12x = 1,012,939.19
  5. Step 5: Solve for x
    x = 1,012,939.19/1,405.12
  6. Step 6: Final answer
    x = 720.89

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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.