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Finding the Fourth Proportional to 713.83, 984.99 and 399.05

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Solution

The fourth proportional to 713.83, 984.99 and 399.05 is: 550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.83 : 984.99 = 399.05 : x
  2. Step 2: Convert to fraction form
    713.83/984.99 = 399.05/x
  3. Step 3: Cross multiply
    713.83x = 984.99 × 399.05
  4. Step 4: Simplify right side
    713.83x = 393,055.33
  5. Step 5: Solve for x
    x = 393,055.33/713.83
  6. Step 6: Final answer
    x = 550.63

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Why These Related Problems?

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