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Finding the Fourth Proportional to 789.18, 1,182.84 and 606

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Solution

The fourth proportional to 789.18, 1,182.84 and 606 is: 908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.18 : 1,182.84 = 606 : x
  2. Step 2: Convert to fraction form
    789.18/1,182.84 = 606/x
  3. Step 3: Cross multiply
    789.18x = 1,182.84 × 606
  4. Step 4: Simplify right side
    789.18x = 716,801.04
  5. Step 5: Solve for x
    x = 716,801.04/789.18
  6. Step 6: Final answer
    x = 908.29

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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.