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Finding the Fourth Proportional to 771.18, 1,064.21 and 456.44

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Solution

The fourth proportional to 771.18, 1,064.21 and 456.44 is: 629.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.18 : 1,064.21 = 456.44 : x
  2. Step 2: Convert to fraction form
    771.18/1,064.21 = 456.44/x
  3. Step 3: Cross multiply
    771.18x = 1,064.21 × 456.44
  4. Step 4: Simplify right side
    771.18x = 485,748.01
  5. Step 5: Solve for x
    x = 485,748.01/771.18
  6. Step 6: Final answer
    x = 629.88

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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.