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Finding the Fourth Proportional to 921.94, 1,272.75 and 711.64

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Solution

The fourth proportional to 921.94, 1,272.75 and 711.64 is: 982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.94 : 1,272.75 = 711.64 : x
  2. Step 2: Convert to fraction form
    921.94/1,272.75 = 711.64/x
  3. Step 3: Cross multiply
    921.94x = 1,272.75 × 711.64
  4. Step 4: Simplify right side
    921.94x = 905,739.81
  5. Step 5: Solve for x
    x = 905,739.81/921.94
  6. Step 6: Final answer
    x = 982.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.