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Finding the Fourth Proportional to 1,107.39, 1,659.79 and 832.60

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Solution

The fourth proportional to 1,107.39, 1,659.79 and 832.60 is: 1,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.39 : 1,659.79 = 832.60 : x
  2. Step 2: Convert to fraction form
    1,107.39/1,659.79 = 832.60/x
  3. Step 3: Cross multiply
    1,107.39x = 1,659.79 × 832.60
  4. Step 4: Simplify right side
    1,107.39x = 1,381,941.15
  5. Step 5: Solve for x
    x = 1,381,941.15/1,107.39
  6. Step 6: Final answer
    x = 1,247.93

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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.