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Finding the Fourth Proportional to 696.79, 963.66 and 609.31

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Solution

The fourth proportional to 696.79, 963.66 and 609.31 is: 842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.79 : 963.66 = 609.31 : x
  2. Step 2: Convert to fraction form
    696.79/963.66 = 609.31/x
  3. Step 3: Cross multiply
    696.79x = 963.66 × 609.31
  4. Step 4: Simplify right side
    696.79x = 587,167.67
  5. Step 5: Solve for x
    x = 587,167.67/696.79
  6. Step 6: Final answer
    x = 842.68

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