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Finding the Fourth Proportional to 637.87, 955.11 and 513.81

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Solution

The fourth proportional to 637.87, 955.11 and 513.81 is: 769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.87 : 955.11 = 513.81 : x
  2. Step 2: Convert to fraction form
    637.87/955.11 = 513.81/x
  3. Step 3: Cross multiply
    637.87x = 955.11 × 513.81
  4. Step 4: Simplify right side
    637.87x = 490,745.07
  5. Step 5: Solve for x
    x = 490,745.07/637.87
  6. Step 6: Final answer
    x = 769.35

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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.