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Finding the Fourth Proportional to 922.60, 1,382.07 and 716.05

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Solution

The fourth proportional to 922.60, 1,382.07 and 716.05 is: 1,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.60 : 1,382.07 = 716.05 : x
  2. Step 2: Convert to fraction form
    922.60/1,382.07 = 716.05/x
  3. Step 3: Cross multiply
    922.60x = 1,382.07 × 716.05
  4. Step 4: Simplify right side
    922.60x = 989,624.31
  5. Step 5: Solve for x
    x = 989,624.31/922.60
  6. Step 6: Final answer
    x = 1,072.65

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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.