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Finding the Fourth Proportional to 1,406.44, 2,109.60 and 832.96

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Solution

The fourth proportional to 1,406.44, 2,109.60 and 832.96 is: 1,249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.44 : 2,109.60 = 832.96 : x
  2. Step 2: Convert to fraction form
    1,406.44/2,109.60 = 832.96/x
  3. Step 3: Cross multiply
    1,406.44x = 2,109.60 × 832.96
  4. Step 4: Simplify right side
    1,406.44x = 1,757,212.42
  5. Step 5: Solve for x
    x = 1,757,212.42/1,406.44
  6. Step 6: Final answer
    x = 1,249.40

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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.