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Finding the Fourth Proportional to 1,405.94, 2,109.39 and 626.49

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Solution

The fourth proportional to 1,405.94, 2,109.39 and 626.49 is: 939.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.94 : 2,109.39 = 626.49 : x
  2. Step 2: Convert to fraction form
    1,405.94/2,109.39 = 626.49/x
  3. Step 3: Cross multiply
    1,405.94x = 2,109.39 × 626.49
  4. Step 4: Simplify right side
    1,405.94x = 1,321,511.74
  5. Step 5: Solve for x
    x = 1,321,511.74/1,405.94
  6. Step 6: Final answer
    x = 939.95

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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.