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Finding the Fourth Proportional to 780.87, 1,171.17 and 428.60

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Solution

The fourth proportional to 780.87, 1,171.17 and 428.60 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.87 : 1,171.17 = 428.60 : x
  2. Step 2: Convert to fraction form
    780.87/1,171.17 = 428.60/x
  3. Step 3: Cross multiply
    780.87x = 1,171.17 × 428.60
  4. Step 4: Simplify right side
    780.87x = 501,963.46
  5. Step 5: Solve for x
    x = 501,963.46/780.87
  6. Step 6: Final answer
    x = 642.83

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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.