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Finding the Fourth Proportional to 775.64, 1,163.34 and 503.66

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Solution

The fourth proportional to 775.64, 1,163.34 and 503.66 is: 755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.64 : 1,163.34 = 503.66 : x
  2. Step 2: Convert to fraction form
    775.64/1,163.34 = 503.66/x
  3. Step 3: Cross multiply
    775.64x = 1,163.34 × 503.66
  4. Step 4: Simplify right side
    775.64x = 585,927.82
  5. Step 5: Solve for x
    x = 585,927.82/775.64
  6. Step 6: Final answer
    x = 755.41

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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.