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Finding the Fourth Proportional to 921.88, 1,274.01 and 823.46

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Solution

The fourth proportional to 921.88, 1,274.01 and 823.46 is: 1,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.88 : 1,274.01 = 823.46 : x
  2. Step 2: Convert to fraction form
    921.88/1,274.01 = 823.46/x
  3. Step 3: Cross multiply
    921.88x = 1,274.01 × 823.46
  4. Step 4: Simplify right side
    921.88x = 1,049,096.27
  5. Step 5: Solve for x
    x = 1,049,096.27/921.88
  6. Step 6: Final answer
    x = 1,138.00

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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.