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Finding the Fourth Proportional to 713.94, 985.19 and 394.90

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Solution

The fourth proportional to 713.94, 985.19 and 394.90 is: 544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.94 : 985.19 = 394.90 : x
  2. Step 2: Convert to fraction form
    713.94/985.19 = 394.90/x
  3. Step 3: Cross multiply
    713.94x = 985.19 × 394.90
  4. Step 4: Simplify right side
    713.94x = 389,044.63
  5. Step 5: Solve for x
    x = 389,044.63/713.94
  6. Step 6: Final answer
    x = 544.93

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