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Finding the Fourth Proportional to 1,194.95, 1,792.47 and 329.33

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Solution

The fourth proportional to 1,194.95, 1,792.47 and 329.33 is: 494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.95 : 1,792.47 = 329.33 : x
  2. Step 2: Convert to fraction form
    1,194.95/1,792.47 = 329.33/x
  3. Step 3: Cross multiply
    1,194.95x = 1,792.47 × 329.33
  4. Step 4: Simplify right side
    1,194.95x = 590,314.15
  5. Step 5: Solve for x
    x = 590,314.15/1,194.95
  6. Step 6: Final answer
    x = 494.01

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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.