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Finding the Fourth Proportional to 922.94, 1,383.49 and 512.26

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Solution

The fourth proportional to 922.94, 1,383.49 and 512.26 is: 767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.94 : 1,383.49 = 512.26 : x
  2. Step 2: Convert to fraction form
    922.94/1,383.49 = 512.26/x
  3. Step 3: Cross multiply
    922.94x = 1,383.49 × 512.26
  4. Step 4: Simplify right side
    922.94x = 708,706.59
  5. Step 5: Solve for x
    x = 708,706.59/922.94
  6. Step 6: Final answer
    x = 767.88

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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.