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Finding the Fourth Proportional to 758.57, 1,137.94 and 203.38

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Solution

The fourth proportional to 758.57, 1,137.94 and 203.38 is: 305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.57 : 1,137.94 = 203.38 : x
  2. Step 2: Convert to fraction form
    758.57/1,137.94 = 203.38/x
  3. Step 3: Cross multiply
    758.57x = 1,137.94 × 203.38
  4. Step 4: Simplify right side
    758.57x = 231,430.88
  5. Step 5: Solve for x
    x = 231,430.88/758.57
  6. Step 6: Final answer
    x = 305.09

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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.