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Finding the Fourth Proportional to 771.06, 1,064.43 and 456.21

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Solution

The fourth proportional to 771.06, 1,064.43 and 456.21 is: 629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.06 : 1,064.43 = 456.21 : x
  2. Step 2: Convert to fraction form
    771.06/1,064.43 = 456.21/x
  3. Step 3: Cross multiply
    771.06x = 1,064.43 × 456.21
  4. Step 4: Simplify right side
    771.06x = 485,603.61
  5. Step 5: Solve for x
    x = 485,603.61/771.06
  6. Step 6: Final answer
    x = 629.79

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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.