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Finding the Fourth Proportional to 1,116.98, 1,673.64 and 791.76

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Solution

The fourth proportional to 1,116.98, 1,673.64 and 791.76 is: 1,186.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.98 : 1,673.64 = 791.76 : x
  2. Step 2: Convert to fraction form
    1,116.98/1,673.64 = 791.76/x
  3. Step 3: Cross multiply
    1,116.98x = 1,673.64 × 791.76
  4. Step 4: Simplify right side
    1,116.98x = 1,325,121.21
  5. Step 5: Solve for x
    x = 1,325,121.21/1,116.98
  6. Step 6: Final answer
    x = 1,186.34

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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.