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Finding the Fourth Proportional to 713.65, 984.84 and 398.94

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Solution

The fourth proportional to 713.65, 984.84 and 398.94 is: 550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.65 : 984.84 = 398.94 : x
  2. Step 2: Convert to fraction form
    713.65/984.84 = 398.94/x
  3. Step 3: Cross multiply
    713.65x = 984.84 × 398.94
  4. Step 4: Simplify right side
    713.65x = 392,892.07
  5. Step 5: Solve for x
    x = 392,892.07/713.65
  6. Step 6: Final answer
    x = 550.54

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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.