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Finding the Fourth Proportional to 771.14, 1,064.21 and 456.33

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Solution

The fourth proportional to 771.14, 1,064.21 and 456.33 is: 629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.14 : 1,064.21 = 456.33 : x
  2. Step 2: Convert to fraction form
    771.14/1,064.21 = 456.33/x
  3. Step 3: Cross multiply
    771.14x = 1,064.21 × 456.33
  4. Step 4: Simplify right side
    771.14x = 485,632.02
  5. Step 5: Solve for x
    x = 485,632.02/771.14
  6. Step 6: Final answer
    x = 629.76

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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.