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Finding the Fourth Proportional to 789.67, 1,185.16 and 558.79

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Solution

The fourth proportional to 789.67, 1,185.16 and 558.79 is: 838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.67 : 1,185.16 = 558.79 : x
  2. Step 2: Convert to fraction form
    789.67/1,185.16 = 558.79/x
  3. Step 3: Cross multiply
    789.67x = 1,185.16 × 558.79
  4. Step 4: Simplify right side
    789.67x = 662,249.01
  5. Step 5: Solve for x
    x = 662,249.01/789.67
  6. Step 6: Final answer
    x = 838.64

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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.