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Finding the Fourth Proportional to 780.80, 1,170.24 and 318.08

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Solution

The fourth proportional to 780.80, 1,170.24 and 318.08 is: 476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.80 : 1,170.24 = 318.08 : x
  2. Step 2: Convert to fraction form
    780.80/1,170.24 = 318.08/x
  3. Step 3: Cross multiply
    780.80x = 1,170.24 × 318.08
  4. Step 4: Simplify right side
    780.80x = 372,229.94
  5. Step 5: Solve for x
    x = 372,229.94/780.80
  6. Step 6: Final answer
    x = 476.73

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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.