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Finding the Fourth Proportional to 906.80, 1,251.42 and 557.60

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Solution

The fourth proportional to 906.80, 1,251.42 and 557.60 is: 769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.80 : 1,251.42 = 557.60 : x
  2. Step 2: Convert to fraction form
    906.80/1,251.42 = 557.60/x
  3. Step 3: Cross multiply
    906.80x = 1,251.42 × 557.60
  4. Step 4: Simplify right side
    906.80x = 697,791.79
  5. Step 5: Solve for x
    x = 697,791.79/906.80
  6. Step 6: Final answer
    x = 769.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.