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Finding the Fourth Proportional to 1,405.38, 2,107.27 and 584.25

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Solution

The fourth proportional to 1,405.38, 2,107.27 and 584.25 is: 876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.38 : 2,107.27 = 584.25 : x
  2. Step 2: Convert to fraction form
    1,405.38/2,107.27 = 584.25/x
  3. Step 3: Cross multiply
    1,405.38x = 2,107.27 × 584.25
  4. Step 4: Simplify right side
    1,405.38x = 1,231,162.04
  5. Step 5: Solve for x
    x = 1,231,162.04/1,405.38
  6. Step 6: Final answer
    x = 876.03

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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.