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Finding the Fourth Proportional to 781.46, 1,171.20 and 683.72

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Solution

The fourth proportional to 781.46, 1,171.20 and 683.72 is: 1,024.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.46 : 1,171.20 = 683.72 : x
  2. Step 2: Convert to fraction form
    781.46/1,171.20 = 683.72/x
  3. Step 3: Cross multiply
    781.46x = 1,171.20 × 683.72
  4. Step 4: Simplify right side
    781.46x = 800,775.79
  5. Step 5: Solve for x
    x = 800,775.79/781.46
  6. Step 6: Final answer
    x = 1,024.72

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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.