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Finding the Fourth Proportional to 1,119.64, 1,676.22 and 685.48

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Solution

The fourth proportional to 1,119.64, 1,676.22 and 685.48 is: 1,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.64 : 1,676.22 = 685.48 : x
  2. Step 2: Convert to fraction form
    1,119.64/1,676.22 = 685.48/x
  3. Step 3: Cross multiply
    1,119.64x = 1,676.22 × 685.48
  4. Step 4: Simplify right side
    1,119.64x = 1,149,015.29
  5. Step 5: Solve for x
    x = 1,149,015.29/1,119.64
  6. Step 6: Final answer
    x = 1,026.24

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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.