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Finding the Fourth Proportional to 1,194.17, 1,791.35 and 328.48

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Solution

The fourth proportional to 1,194.17, 1,791.35 and 328.48 is: 492.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.17 : 1,791.35 = 328.48 : x
  2. Step 2: Convert to fraction form
    1,194.17/1,791.35 = 328.48/x
  3. Step 3: Cross multiply
    1,194.17x = 1,791.35 × 328.48
  4. Step 4: Simplify right side
    1,194.17x = 588,422.65
  5. Step 5: Solve for x
    x = 588,422.65/1,194.17
  6. Step 6: Final answer
    x = 492.75

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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.