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Finding the Fourth Proportional to 905.08, 1,356.66 and 644.24

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Solution

The fourth proportional to 905.08, 1,356.66 and 644.24 is: 965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.08 : 1,356.66 = 644.24 : x
  2. Step 2: Convert to fraction form
    905.08/1,356.66 = 644.24/x
  3. Step 3: Cross multiply
    905.08x = 1,356.66 × 644.24
  4. Step 4: Simplify right side
    905.08x = 874,014.64
  5. Step 5: Solve for x
    x = 874,014.64/905.08
  6. Step 6: Final answer
    x = 965.68

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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.