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Finding the Fourth Proportional to 780.54, 1,169.73 and 606.42

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Solution

The fourth proportional to 780.54, 1,169.73 and 606.42 is: 908.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.54 : 1,169.73 = 606.42 : x
  2. Step 2: Convert to fraction form
    780.54/1,169.73 = 606.42/x
  3. Step 3: Cross multiply
    780.54x = 1,169.73 × 606.42
  4. Step 4: Simplify right side
    780.54x = 709,338.79
  5. Step 5: Solve for x
    x = 709,338.79/780.54
  6. Step 6: Final answer
    x = 908.78

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