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Finding the Fourth Proportional to 1,405.45, 2,107.72 and 820.43

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Solution

The fourth proportional to 1,405.45, 2,107.72 and 820.43 is: 1,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.45 : 2,107.72 = 820.43 : x
  2. Step 2: Convert to fraction form
    1,405.45/2,107.72 = 820.43/x
  3. Step 3: Cross multiply
    1,405.45x = 2,107.72 × 820.43
  4. Step 4: Simplify right side
    1,405.45x = 1,729,235.11
  5. Step 5: Solve for x
    x = 1,729,235.11/1,405.45
  6. Step 6: Final answer
    x = 1,230.38

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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.