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Finding the Fourth Proportional to 777.37, 1,163.13 and 463.87

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Solution

The fourth proportional to 777.37, 1,163.13 and 463.87 is: 694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.37 : 1,163.13 = 463.87 : x
  2. Step 2: Convert to fraction form
    777.37/1,163.13 = 463.87/x
  3. Step 3: Cross multiply
    777.37x = 1,163.13 × 463.87
  4. Step 4: Simplify right side
    777.37x = 539,535.30
  5. Step 5: Solve for x
    x = 539,535.30/777.37
  6. Step 6: Final answer
    x = 694.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.