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Finding the Fourth Proportional to 1,120.21, 1,678.43 and 793.96

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Solution

The fourth proportional to 1,120.21, 1,678.43 and 793.96 is: 1,189.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.21 : 1,678.43 = 793.96 : x
  2. Step 2: Convert to fraction form
    1,120.21/1,678.43 = 793.96/x
  3. Step 3: Cross multiply
    1,120.21x = 1,678.43 × 793.96
  4. Step 4: Simplify right side
    1,120.21x = 1,332,602.31
  5. Step 5: Solve for x
    x = 1,332,602.31/1,120.21
  6. Step 6: Final answer
    x = 1,189.60

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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.