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Finding the Fourth Proportional to 771.09, 1,064.12 and 421.78

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Solution

The fourth proportional to 771.09, 1,064.12 and 421.78 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.09 : 1,064.12 = 421.78 : x
  2. Step 2: Convert to fraction form
    771.09/1,064.12 = 421.78/x
  3. Step 3: Cross multiply
    771.09x = 1,064.12 × 421.78
  4. Step 4: Simplify right side
    771.09x = 448,824.53
  5. Step 5: Solve for x
    x = 448,824.53/771.09
  6. Step 6: Final answer
    x = 582.07

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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.