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Finding the Fourth Proportional to 637.82, 879.63 and 513.45

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Solution

The fourth proportional to 637.82, 879.63 and 513.45 is: 708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.82 : 879.63 = 513.45 : x
  2. Step 2: Convert to fraction form
    637.82/879.63 = 513.45/x
  3. Step 3: Cross multiply
    637.82x = 879.63 × 513.45
  4. Step 4: Simplify right side
    637.82x = 451,646.02
  5. Step 5: Solve for x
    x = 451,646.02/637.82
  6. Step 6: Final answer
    x = 708.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.