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Finding the Fourth Proportional to 905.56, 1,357.07 and 509.88

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Solution

The fourth proportional to 905.56, 1,357.07 and 509.88 is: 764.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.56 : 1,357.07 = 509.88 : x
  2. Step 2: Convert to fraction form
    905.56/1,357.07 = 509.88/x
  3. Step 3: Cross multiply
    905.56x = 1,357.07 × 509.88
  4. Step 4: Simplify right side
    905.56x = 691,942.85
  5. Step 5: Solve for x
    x = 691,942.85/905.56
  6. Step 6: Final answer
    x = 764.10

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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.