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Finding the Fourth Proportional to 905.31, 1,356.95 and 539.33

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Solution

The fourth proportional to 905.31, 1,356.95 and 539.33 is: 808.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.31 : 1,356.95 = 539.33 : x
  2. Step 2: Convert to fraction form
    905.31/1,356.95 = 539.33/x
  3. Step 3: Cross multiply
    905.31x = 1,356.95 × 539.33
  4. Step 4: Simplify right side
    905.31x = 731,844.54
  5. Step 5: Solve for x
    x = 731,844.54/905.31
  6. Step 6: Final answer
    x = 808.39

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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.