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Finding the Fourth Proportional to 1,120.43, 1,546.09 and 766.26

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Solution

The fourth proportional to 1,120.43, 1,546.09 and 766.26 is: 1,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.43 : 1,546.09 = 766.26 : x
  2. Step 2: Convert to fraction form
    1,120.43/1,546.09 = 766.26/x
  3. Step 3: Cross multiply
    1,120.43x = 1,546.09 × 766.26
  4. Step 4: Simplify right side
    1,120.43x = 1,184,705.01
  5. Step 5: Solve for x
    x = 1,184,705.01/1,120.43
  6. Step 6: Final answer
    x = 1,057.36

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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.