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Finding the Fourth Proportional to 637.80, 958.86 and 509.44

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Solution

The fourth proportional to 637.80, 958.86 and 509.44 is: 765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.80 : 958.86 = 509.44 : x
  2. Step 2: Convert to fraction form
    637.80/958.86 = 509.44/x
  3. Step 3: Cross multiply
    637.80x = 958.86 × 509.44
  4. Step 4: Simplify right side
    637.80x = 488,481.64
  5. Step 5: Solve for x
    x = 488,481.64/637.80
  6. Step 6: Final answer
    x = 765.89

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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.