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Finding the Fourth Proportional to 1,367.90, 2,052.58 and 791.18

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Solution

The fourth proportional to 1,367.90, 2,052.58 and 791.18 is: 1,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.90 : 2,052.58 = 791.18 : x
  2. Step 2: Convert to fraction form
    1,367.90/2,052.58 = 791.18/x
  3. Step 3: Cross multiply
    1,367.90x = 2,052.58 × 791.18
  4. Step 4: Simplify right side
    1,367.90x = 1,623,956.29
  5. Step 5: Solve for x
    x = 1,623,956.29/1,367.90
  6. Step 6: Final answer
    x = 1,187.19

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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.