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Finding the Fourth Proportional to 906.18, 1,356.32 and 494.29

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Solution

The fourth proportional to 906.18, 1,356.32 and 494.29 is: 739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.18 : 1,356.32 = 494.29 : x
  2. Step 2: Convert to fraction form
    906.18/1,356.32 = 494.29/x
  3. Step 3: Cross multiply
    906.18x = 1,356.32 × 494.29
  4. Step 4: Simplify right side
    906.18x = 670,412.94
  5. Step 5: Solve for x
    x = 670,412.94/906.18
  6. Step 6: Final answer
    x = 739.83

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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.