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Finding the Fourth Proportional to 1,107.84, 1,659.92 and 674.08

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Solution

The fourth proportional to 1,107.84, 1,659.92 and 674.08 is: 1,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.84 : 1,659.92 = 674.08 : x
  2. Step 2: Convert to fraction form
    1,107.84/1,659.92 = 674.08/x
  3. Step 3: Cross multiply
    1,107.84x = 1,659.92 × 674.08
  4. Step 4: Simplify right side
    1,107.84x = 1,118,918.87
  5. Step 5: Solve for x
    x = 1,118,918.87/1,107.84
  6. Step 6: Final answer
    x = 1,010.00

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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.