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Finding the Fourth Proportional to 636.74, 875.79 and 512.12

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Solution

The fourth proportional to 636.74, 875.79 and 512.12 is: 704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.74 : 875.79 = 512.12 : x
  2. Step 2: Convert to fraction form
    636.74/875.79 = 512.12/x
  3. Step 3: Cross multiply
    636.74x = 875.79 × 512.12
  4. Step 4: Simplify right side
    636.74x = 448,510.32
  5. Step 5: Solve for x
    x = 448,510.32/636.74
  6. Step 6: Final answer
    x = 704.39

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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.