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Finding the Fourth Proportional to 771.86, 1,065.24 and 422.60

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Solution

The fourth proportional to 771.86, 1,065.24 and 422.60 is: 583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.86 : 1,065.24 = 422.60 : x
  2. Step 2: Convert to fraction form
    771.86/1,065.24 = 422.60/x
  3. Step 3: Cross multiply
    771.86x = 1,065.24 × 422.60
  4. Step 4: Simplify right side
    771.86x = 450,170.42
  5. Step 5: Solve for x
    x = 450,170.42/771.86
  6. Step 6: Final answer
    x = 583.23

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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.