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Finding the Fourth Proportional to 1,194.35, 1,791.29 and 328.46

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Solution

The fourth proportional to 1,194.35, 1,791.29 and 328.46 is: 492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.35 : 1,791.29 = 328.46 : x
  2. Step 2: Convert to fraction form
    1,194.35/1,791.29 = 328.46/x
  3. Step 3: Cross multiply
    1,194.35x = 1,791.29 × 328.46
  4. Step 4: Simplify right side
    1,194.35x = 588,356.51
  5. Step 5: Solve for x
    x = 588,356.51/1,194.35
  6. Step 6: Final answer
    x = 492.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.