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Finding the Fourth Proportional to 793.71, 1,189.04 and 599.96

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Solution

The fourth proportional to 793.71, 1,189.04 and 599.96 is: 898.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.71 : 1,189.04 = 599.96 : x
  2. Step 2: Convert to fraction form
    793.71/1,189.04 = 599.96/x
  3. Step 3: Cross multiply
    793.71x = 1,189.04 × 599.96
  4. Step 4: Simplify right side
    793.71x = 713,376.41
  5. Step 5: Solve for x
    x = 713,376.41/793.71
  6. Step 6: Final answer
    x = 898.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.