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Finding the Fourth Proportional to 1,404.82, 2,107.20 and 759.64

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Solution

The fourth proportional to 1,404.82, 2,107.20 and 759.64 is: 1,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.82 : 2,107.20 = 759.64 : x
  2. Step 2: Convert to fraction form
    1,404.82/2,107.20 = 759.64/x
  3. Step 3: Cross multiply
    1,404.82x = 2,107.20 × 759.64
  4. Step 4: Simplify right side
    1,404.82x = 1,600,713.41
  5. Step 5: Solve for x
    x = 1,600,713.41/1,404.82
  6. Step 6: Final answer
    x = 1,139.44

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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.