Home / 1,184.02-1,634.82-791.98

Finding the Fourth Proportional to 1,184.02, 1,634.82 and 791.98

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Solution

The fourth proportional to 1,184.02, 1,634.82 and 791.98 is: 1,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.02 : 1,634.82 = 791.98 : x
  2. Step 2: Convert to fraction form
    1,184.02/1,634.82 = 791.98/x
  3. Step 3: Cross multiply
    1,184.02x = 1,634.82 × 791.98
  4. Step 4: Simplify right side
    1,184.02x = 1,294,744.74
  5. Step 5: Solve for x
    x = 1,294,744.74/1,184.02
  6. Step 6: Final answer
    x = 1,093.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.