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Finding the Fourth Proportional to 949.83, 1,424.79 and 767.58

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Solution

The fourth proportional to 949.83, 1,424.79 and 767.58 is: 1,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.83 : 1,424.79 = 767.58 : x
  2. Step 2: Convert to fraction form
    949.83/1,424.79 = 767.58/x
  3. Step 3: Cross multiply
    949.83x = 1,424.79 × 767.58
  4. Step 4: Simplify right side
    949.83x = 1,093,640.31
  5. Step 5: Solve for x
    x = 1,093,640.31/949.83
  6. Step 6: Final answer
    x = 1,151.41

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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.