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Finding the Fourth Proportional to 921.56, 1,272.32 and 685.23

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Solution

The fourth proportional to 921.56, 1,272.32 and 685.23 is: 946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.56 : 1,272.32 = 685.23 : x
  2. Step 2: Convert to fraction form
    921.56/1,272.32 = 685.23/x
  3. Step 3: Cross multiply
    921.56x = 1,272.32 × 685.23
  4. Step 4: Simplify right side
    921.56x = 871,828.41
  5. Step 5: Solve for x
    x = 871,828.41/921.56
  6. Step 6: Final answer
    x = 946.04

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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.