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Finding the Fourth Proportional to 771.85, 1,065.15 and 422.56

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Solution

The fourth proportional to 771.85, 1,065.15 and 422.56 is: 583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,065.15 = 422.56 : x
  2. Step 2: Convert to fraction form
    771.85/1,065.15 = 422.56/x
  3. Step 3: Cross multiply
    771.85x = 1,065.15 × 422.56
  4. Step 4: Simplify right side
    771.85x = 450,089.78
  5. Step 5: Solve for x
    x = 450,089.78/771.85
  6. Step 6: Final answer
    x = 583.13

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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.