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Finding the Fourth Proportional to 636.40, 876.72 and 609.40

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Solution

The fourth proportional to 636.40, 876.72 and 609.40 is: 839.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.40 : 876.72 = 609.40 : x
  2. Step 2: Convert to fraction form
    636.40/876.72 = 609.40/x
  3. Step 3: Cross multiply
    636.40x = 876.72 × 609.40
  4. Step 4: Simplify right side
    636.40x = 534,273.17
  5. Step 5: Solve for x
    x = 534,273.17/636.40
  6. Step 6: Final answer
    x = 839.52

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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.