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Finding the Fourth Proportional to 922.07, 1,382.58 and 629.92

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Solution

The fourth proportional to 922.07, 1,382.58 and 629.92 is: 944.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.07 : 1,382.58 = 629.92 : x
  2. Step 2: Convert to fraction form
    922.07/1,382.58 = 629.92/x
  3. Step 3: Cross multiply
    922.07x = 1,382.58 × 629.92
  4. Step 4: Simplify right side
    922.07x = 870,914.79
  5. Step 5: Solve for x
    x = 870,914.79/922.07
  6. Step 6: Final answer
    x = 944.52

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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.