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Finding the Fourth Proportional to 905.53, 1,359.51 and 496.09

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Solution

The fourth proportional to 905.53, 1,359.51 and 496.09 is: 744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.53 : 1,359.51 = 496.09 : x
  2. Step 2: Convert to fraction form
    905.53/1,359.51 = 496.09/x
  3. Step 3: Cross multiply
    905.53x = 1,359.51 × 496.09
  4. Step 4: Simplify right side
    905.53x = 674,439.32
  5. Step 5: Solve for x
    x = 674,439.32/905.53
  6. Step 6: Final answer
    x = 744.80

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Why These Related Problems?

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