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Finding the Fourth Proportional to 789.79, 1,182.78 and 399.28

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Solution

The fourth proportional to 789.79, 1,182.78 and 399.28 is: 597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.79 : 1,182.78 = 399.28 : x
  2. Step 2: Convert to fraction form
    789.79/1,182.78 = 399.28/x
  3. Step 3: Cross multiply
    789.79x = 1,182.78 × 399.28
  4. Step 4: Simplify right side
    789.79x = 472,260.40
  5. Step 5: Solve for x
    x = 472,260.40/789.79
  6. Step 6: Final answer
    x = 597.96

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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.