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Finding the Fourth Proportional to 1,405.08, 2,107.80 and 674.82

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Solution

The fourth proportional to 1,405.08, 2,107.80 and 674.82 is: 1,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.08 : 2,107.80 = 674.82 : x
  2. Step 2: Convert to fraction form
    1,405.08/2,107.80 = 674.82/x
  3. Step 3: Cross multiply
    1,405.08x = 2,107.80 × 674.82
  4. Step 4: Simplify right side
    1,405.08x = 1,422,385.60
  5. Step 5: Solve for x
    x = 1,422,385.60/1,405.08
  6. Step 6: Final answer
    x = 1,012.32

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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.