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Finding the Fourth Proportional to 775.32, 1,163.40 and 773.04

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Solution

The fourth proportional to 775.32, 1,163.40 and 773.04 is: 1,159.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.32 : 1,163.40 = 773.04 : x
  2. Step 2: Convert to fraction form
    775.32/1,163.40 = 773.04/x
  3. Step 3: Cross multiply
    775.32x = 1,163.40 × 773.04
  4. Step 4: Simplify right side
    775.32x = 899,354.74
  5. Step 5: Solve for x
    x = 899,354.74/775.32
  6. Step 6: Final answer
    x = 1,159.98

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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.