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Finding the Fourth Proportional to 891.14, 1,335.31 and 685.46

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Solution

The fourth proportional to 891.14, 1,335.31 and 685.46 is: 1,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.14 : 1,335.31 = 685.46 : x
  2. Step 2: Convert to fraction form
    891.14/1,335.31 = 685.46/x
  3. Step 3: Cross multiply
    891.14x = 1,335.31 × 685.46
  4. Step 4: Simplify right side
    891.14x = 915,301.59
  5. Step 5: Solve for x
    x = 915,301.59/891.14
  6. Step 6: Final answer
    x = 1,027.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.