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Finding the Fourth Proportional to 771.75, 1,065.02 and 422.46

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Solution

The fourth proportional to 771.75, 1,065.02 and 422.46 is: 582.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.75 : 1,065.02 = 422.46 : x
  2. Step 2: Convert to fraction form
    771.75/1,065.02 = 422.46/x
  3. Step 3: Cross multiply
    771.75x = 1,065.02 × 422.46
  4. Step 4: Simplify right side
    771.75x = 449,926.24
  5. Step 5: Solve for x
    x = 449,926.24/771.75
  6. Step 6: Final answer
    x = 582.99

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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.