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Finding the Fourth Proportional to 1,405.22, 2,107.91 and 788.44

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Solution

The fourth proportional to 1,405.22, 2,107.91 and 788.44 is: 1,182.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.22 : 2,107.91 = 788.44 : x
  2. Step 2: Convert to fraction form
    1,405.22/2,107.91 = 788.44/x
  3. Step 3: Cross multiply
    1,405.22x = 2,107.91 × 788.44
  4. Step 4: Simplify right side
    1,405.22x = 1,661,960.56
  5. Step 5: Solve for x
    x = 1,661,960.56/1,405.22
  6. Step 6: Final answer
    x = 1,182.70

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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.