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Finding the Fourth Proportional to 709.50, 979.10 and 394.75

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Solution

The fourth proportional to 709.50, 979.10 and 394.75 is: 544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.50 : 979.10 = 394.75 : x
  2. Step 2: Convert to fraction form
    709.50/979.10 = 394.75/x
  3. Step 3: Cross multiply
    709.50x = 979.10 × 394.75
  4. Step 4: Simplify right side
    709.50x = 386,499.73
  5. Step 5: Solve for x
    x = 386,499.73/709.50
  6. Step 6: Final answer
    x = 544.75

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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.