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Finding the Fourth Proportional to 906.75, 1,251.45 and 552.78

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Solution

The fourth proportional to 906.75, 1,251.45 and 552.78 is: 762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.75 : 1,251.45 = 552.78 : x
  2. Step 2: Convert to fraction form
    906.75/1,251.45 = 552.78/x
  3. Step 3: Cross multiply
    906.75x = 1,251.45 × 552.78
  4. Step 4: Simplify right side
    906.75x = 691,776.53
  5. Step 5: Solve for x
    x = 691,776.53/906.75
  6. Step 6: Final answer
    x = 762.92

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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.