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Finding the Fourth Proportional to 1,120.92, 1,546.78 and 728.68

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Solution

The fourth proportional to 1,120.92, 1,546.78 and 728.68 is: 1,005.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.92 : 1,546.78 = 728.68 : x
  2. Step 2: Convert to fraction form
    1,120.92/1,546.78 = 728.68/x
  3. Step 3: Cross multiply
    1,120.92x = 1,546.78 × 728.68
  4. Step 4: Simplify right side
    1,120.92x = 1,127,107.65
  5. Step 5: Solve for x
    x = 1,127,107.65/1,120.92
  6. Step 6: Final answer
    x = 1,005.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.