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Finding the Fourth Proportional to 1,107.81, 1,659.69 and 743.04

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Solution

The fourth proportional to 1,107.81, 1,659.69 and 743.04 is: 1,113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.81 : 1,659.69 = 743.04 : x
  2. Step 2: Convert to fraction form
    1,107.81/1,659.69 = 743.04/x
  3. Step 3: Cross multiply
    1,107.81x = 1,659.69 × 743.04
  4. Step 4: Simplify right side
    1,107.81x = 1,233,216.06
  5. Step 5: Solve for x
    x = 1,233,216.06/1,107.81
  6. Step 6: Final answer
    x = 1,113.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.