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Finding the Fourth Proportional to 713.31, 984.74 and 596.67

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Solution

The fourth proportional to 713.31, 984.74 and 596.67 is: 823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.31 : 984.74 = 596.67 : x
  2. Step 2: Convert to fraction form
    713.31/984.74 = 596.67/x
  3. Step 3: Cross multiply
    713.31x = 984.74 × 596.67
  4. Step 4: Simplify right side
    713.31x = 587,561.83
  5. Step 5: Solve for x
    x = 587,561.83/713.31
  6. Step 6: Final answer
    x = 823.71

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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.