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Finding the Fourth Proportional to 922.16, 1,264.27 and 905.78

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Solution

The fourth proportional to 922.16, 1,264.27 and 905.78 is: 1,241.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.16 : 1,264.27 = 905.78 : x
  2. Step 2: Convert to fraction form
    922.16/1,264.27 = 905.78/x
  3. Step 3: Cross multiply
    922.16x = 1,264.27 × 905.78
  4. Step 4: Simplify right side
    922.16x = 1,145,150.48
  5. Step 5: Solve for x
    x = 1,145,150.48/922.16
  6. Step 6: Final answer
    x = 1,241.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.