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Finding the Fourth Proportional to 771.50, 1,063.85 and 547.67

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Solution

The fourth proportional to 771.50, 1,063.85 and 547.67 is: 755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.50 : 1,063.85 = 547.67 : x
  2. Step 2: Convert to fraction form
    771.50/1,063.85 = 547.67/x
  3. Step 3: Cross multiply
    771.50x = 1,063.85 × 547.67
  4. Step 4: Simplify right side
    771.50x = 582,630.67
  5. Step 5: Solve for x
    x = 582,630.67/771.50
  6. Step 6: Final answer
    x = 755.20

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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.