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Finding the Fourth Proportional to 1,405.81, 2,109.16 and 675.43

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Solution

The fourth proportional to 1,405.81, 2,109.16 and 675.43 is: 1,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.81 : 2,109.16 = 675.43 : x
  2. Step 2: Convert to fraction form
    1,405.81/2,109.16 = 675.43/x
  3. Step 3: Cross multiply
    1,405.81x = 2,109.16 × 675.43
  4. Step 4: Simplify right side
    1,405.81x = 1,424,589.94
  5. Step 5: Solve for x
    x = 1,424,589.94/1,405.81
  6. Step 6: Final answer
    x = 1,013.36

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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.