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Finding the Fourth Proportional to 667.44, 997.87 and 565.86

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Solution

The fourth proportional to 667.44, 997.87 and 565.86 is: 846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.44 : 997.87 = 565.86 : x
  2. Step 2: Convert to fraction form
    667.44/997.87 = 565.86/x
  3. Step 3: Cross multiply
    667.44x = 997.87 × 565.86
  4. Step 4: Simplify right side
    667.44x = 564,654.72
  5. Step 5: Solve for x
    x = 564,654.72/667.44
  6. Step 6: Final answer
    x = 846.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.