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Finding the Fourth Proportional to 1,120.29, 1,678.61 and 794.07

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Solution

The fourth proportional to 1,120.29, 1,678.61 and 794.07 is: 1,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.29 : 1,678.61 = 794.07 : x
  2. Step 2: Convert to fraction form
    1,120.29/1,678.61 = 794.07/x
  3. Step 3: Cross multiply
    1,120.29x = 1,678.61 × 794.07
  4. Step 4: Simplify right side
    1,120.29x = 1,332,933.84
  5. Step 5: Solve for x
    x = 1,332,933.84/1,120.29
  6. Step 6: Final answer
    x = 1,189.81

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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.