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Finding the Fourth Proportional to 771.23, 1,064.29 and 421.91

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Solution

The fourth proportional to 771.23, 1,064.29 and 421.91 is: 582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.23 : 1,064.29 = 421.91 : x
  2. Step 2: Convert to fraction form
    771.23/1,064.29 = 421.91/x
  3. Step 3: Cross multiply
    771.23x = 1,064.29 × 421.91
  4. Step 4: Simplify right side
    771.23x = 449,034.59
  5. Step 5: Solve for x
    x = 449,034.59/771.23
  6. Step 6: Final answer
    x = 582.23

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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.