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Finding the Fourth Proportional to 1,107.45, 1,660.47 and 439.53

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Solution

The fourth proportional to 1,107.45, 1,660.47 and 439.53 is: 659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.45 : 1,660.47 = 439.53 : x
  2. Step 2: Convert to fraction form
    1,107.45/1,660.47 = 439.53/x
  3. Step 3: Cross multiply
    1,107.45x = 1,660.47 × 439.53
  4. Step 4: Simplify right side
    1,107.45x = 729,826.38
  5. Step 5: Solve for x
    x = 729,826.38/1,107.45
  6. Step 6: Final answer
    x = 659.02

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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.