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Finding the Fourth Proportional to 636.78, 876.62 and 566.73

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Solution

The fourth proportional to 636.78, 876.62 and 566.73 is: 780.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.78 : 876.62 = 566.73 : x
  2. Step 2: Convert to fraction form
    636.78/876.62 = 566.73/x
  3. Step 3: Cross multiply
    636.78x = 876.62 × 566.73
  4. Step 4: Simplify right side
    636.78x = 496,799.64
  5. Step 5: Solve for x
    x = 496,799.64/636.78
  6. Step 6: Final answer
    x = 780.18

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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.