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Finding the Fourth Proportional to 921.54, 1,270.75 and 685.11

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Solution

The fourth proportional to 921.54, 1,270.75 and 685.11 is: 944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.54 : 1,270.75 = 685.11 : x
  2. Step 2: Convert to fraction form
    921.54/1,270.75 = 685.11/x
  3. Step 3: Cross multiply
    921.54x = 1,270.75 × 685.11
  4. Step 4: Simplify right side
    921.54x = 870,601.69
  5. Step 5: Solve for x
    x = 870,601.69/921.54
  6. Step 6: Final answer
    x = 944.73

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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.