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Finding the Fourth Proportional to 922.76, 1,382.02 and 661.14

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Solution

The fourth proportional to 922.76, 1,382.02 and 661.14 is: 990.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.76 : 1,382.02 = 661.14 : x
  2. Step 2: Convert to fraction form
    922.76/1,382.02 = 661.14/x
  3. Step 3: Cross multiply
    922.76x = 1,382.02 × 661.14
  4. Step 4: Simplify right side
    922.76x = 913,708.70
  5. Step 5: Solve for x
    x = 913,708.70/922.76
  6. Step 6: Final answer
    x = 990.19

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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.