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Finding the Fourth Proportional to 781.21, 1,171.82 and 318.69

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Solution

The fourth proportional to 781.21, 1,171.82 and 318.69 is: 478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.21 : 1,171.82 = 318.69 : x
  2. Step 2: Convert to fraction form
    781.21/1,171.82 = 318.69/x
  3. Step 3: Cross multiply
    781.21x = 1,171.82 × 318.69
  4. Step 4: Simplify right side
    781.21x = 373,447.32
  5. Step 5: Solve for x
    x = 373,447.32/781.21
  6. Step 6: Final answer
    x = 478.04

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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.