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Finding the Fourth Proportional to 1,119.27, 1,678.92 and 734.43

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Solution

The fourth proportional to 1,119.27, 1,678.92 and 734.43 is: 1,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.27 : 1,678.92 = 734.43 : x
  2. Step 2: Convert to fraction form
    1,119.27/1,678.92 = 734.43/x
  3. Step 3: Cross multiply
    1,119.27x = 1,678.92 × 734.43
  4. Step 4: Simplify right side
    1,119.27x = 1,233,049.22
  5. Step 5: Solve for x
    x = 1,233,049.22/1,119.27
  6. Step 6: Final answer
    x = 1,101.65

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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.