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Finding the Fourth Proportional to 771.53, 1,063.17 and 549.86

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Solution

The fourth proportional to 771.53, 1,063.17 and 549.86 is: 757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.53 : 1,063.17 = 549.86 : x
  2. Step 2: Convert to fraction form
    771.53/1,063.17 = 549.86/x
  3. Step 3: Cross multiply
    771.53x = 1,063.17 × 549.86
  4. Step 4: Simplify right side
    771.53x = 584,589.34
  5. Step 5: Solve for x
    x = 584,589.34/771.53
  6. Step 6: Final answer
    x = 757.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.