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Finding the Fourth Proportional to 637.56, 879.12 and 512.82

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Solution

The fourth proportional to 637.56, 879.12 and 512.82 is: 707.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.56 : 879.12 = 512.82 : x
  2. Step 2: Convert to fraction form
    637.56/879.12 = 512.82/x
  3. Step 3: Cross multiply
    637.56x = 879.12 × 512.82
  4. Step 4: Simplify right side
    637.56x = 450,830.32
  5. Step 5: Solve for x
    x = 450,830.32/637.56
  6. Step 6: Final answer
    x = 707.12

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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.