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Finding the Fourth Proportional to 922.44, 1,382.56 and 643.29

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Solution

The fourth proportional to 922.44, 1,382.56 and 643.29 is: 964.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.44 : 1,382.56 = 643.29 : x
  2. Step 2: Convert to fraction form
    922.44/1,382.56 = 643.29/x
  3. Step 3: Cross multiply
    922.44x = 1,382.56 × 643.29
  4. Step 4: Simplify right side
    922.44x = 889,387.02
  5. Step 5: Solve for x
    x = 889,387.02/922.44
  6. Step 6: Final answer
    x = 964.17

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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.